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Least Common Multiple (LCM) of 144 and 156

The least common multiple (LCM) of 144 and 156 is 1872.

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 144 and 156?

First, calculate the GCD of 144 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 144 ÷ 156 = 0 remainder 144
2 156 ÷ 144 = 1 remainder 12
3 144 ÷ 12 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
178 and 686052
110 and 18410120
150 and 619150
57 and 1739861
161 and 19130751

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