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Least Common Multiple (LCM) of 156 and 14

The least common multiple (LCM) of 156 and 14 is 1092.

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 14?

First, calculate the GCD of 156 and 14 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 156 ÷ 14 = 11 remainder 2
2 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
23 and 1754025
60 and 28420
69 and 16411316
160 and 584640
180 and 48720

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