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Least Common Multiple (LCM) of 55 and 147

The least common multiple (LCM) of 55 and 147 is 8085.

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 55 and 147?

First, calculate the GCD of 55 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 55 ÷ 147 = 0 remainder 55
2 147 ÷ 55 = 2 remainder 37
3 55 ÷ 37 = 1 remainder 18
4 37 ÷ 18 = 2 remainder 1
5 18 ÷ 1 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
173 and 356055
159 and 753975
101 and 14314443
51 and 1141938
150 and 15723550

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