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Least Common Multiple (LCM) of 137 and 166

The least common multiple (LCM) of 137 and 166 is 22742.

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 137 and 166?

First, calculate the GCD of 137 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 166 = 0 remainder 137
2 166 ÷ 137 = 1 remainder 29
3 137 ÷ 29 = 4 remainder 21
4 29 ÷ 21 = 1 remainder 8
5 21 ÷ 8 = 2 remainder 5
6 8 ÷ 5 = 1 remainder 3
7 5 ÷ 3 = 1 remainder 2
8 3 ÷ 2 = 1 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
153 and 111683
134 and 18012060
200 and 377400
40 and 1094360
64 and 1076848

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