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Least Common Multiple (LCM) of 29 and 156

The least common multiple (LCM) of 29 and 156 is 4524.

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 29 and 156?

First, calculate the GCD of 29 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 29 ÷ 156 = 0 remainder 29
2 156 ÷ 29 = 5 remainder 11
3 29 ÷ 11 = 2 remainder 7
4 11 ÷ 7 = 1 remainder 4
5 7 ÷ 4 = 1 remainder 3
6 4 ÷ 3 = 1 remainder 1
7 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
39 and 1967644
107 and 222354
113 and 849492
29 and 13377
83 and 433569

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