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Least Common Multiple (LCM) of 147 and 36

The least common multiple (LCM) of 147 and 36 is 1764.

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 147 and 36?

First, calculate the GCD of 147 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 147 ÷ 36 = 4 remainder 3
2 36 ÷ 3 = 12 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 1111887
72 and 1379864
92 and 1039476
168 and 1297224
143 and 537579

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