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Least Common Multiple (LCM) of 156 and 53

The least common multiple (LCM) of 156 and 53 is 8268.

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 156 and 53?

First, calculate the GCD of 156 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 156 ÷ 53 = 2 remainder 50
2 53 ÷ 50 = 1 remainder 3
3 50 ÷ 3 = 16 remainder 2
4 3 ÷ 2 = 1 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
186 and 601860
106 and 1648692
184 and 14125944
185 and 18634410
138 and 8511730

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