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Least Common Multiple (LCM) of 103 and 166

The least common multiple (LCM) of 103 and 166 is 17098.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 103 and 166?

First, calculate the GCD of 103 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 103 ÷ 166 = 0 remainder 103
2 166 ÷ 103 = 1 remainder 63
3 103 ÷ 63 = 1 remainder 40
4 63 ÷ 40 = 1 remainder 23
5 40 ÷ 23 = 1 remainder 17
6 23 ÷ 17 = 1 remainder 6
7 17 ÷ 6 = 2 remainder 5
8 6 ÷ 5 = 1 remainder 1
9 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
176 and 1541232
35 and 1846440
124 and 19011780
49 and 1859065
114 and 374218

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