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Least Common Multiple (LCM) of 189 and 36

The least common multiple (LCM) of 189 and 36 is 756.

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 189 and 36?

First, calculate the GCD of 189 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 189 ÷ 36 = 5 remainder 9
2 36 ÷ 9 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 1084644
59 and 362124
59 and 19811682
20 and 1012020
10 and 24120

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