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Least Common Multiple (LCM) of 156 and 147

The least common multiple (LCM) of 156 and 147 is 7644.

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 147?

First, calculate the GCD of 156 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 156 ÷ 147 = 1 remainder 9
2 147 ÷ 9 = 16 remainder 3
3 9 ÷ 3 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
82 and 14574
60 and 674020
112 and 382128
117 and 404680
144 and 436192

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