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Least Common Multiple (LCM) of 137 and 48

The least common multiple (LCM) of 137 and 48 is 6576.

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 137 and 48?

First, calculate the GCD of 137 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 137 ÷ 48 = 2 remainder 41
2 48 ÷ 41 = 1 remainder 7
3 41 ÷ 7 = 5 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
44 and 1556820
172 and 141204
22 and 1373014
24 and 852040
168 and 1143192

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