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Least Common Multiple (LCM) of 59 and 166

The least common multiple (LCM) of 59 and 166 is 9794.

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 59 and 166?

First, calculate the GCD of 59 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 166 = 0 remainder 59
2 166 ÷ 59 = 2 remainder 48
3 59 ÷ 48 = 1 remainder 11
4 48 ÷ 11 = 4 remainder 4
5 11 ÷ 4 = 2 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 1896048
41 and 1044264
78 and 1219438
192 and 11010560
93 and 141302

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