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Least Common Multiple (LCM) of 33 and 137

The least common multiple (LCM) of 33 and 137 is 4521.

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 33 and 137?

First, calculate the GCD of 33 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 33 ÷ 137 = 0 remainder 33
2 137 ÷ 33 = 4 remainder 5
3 33 ÷ 5 = 6 remainder 3
4 5 ÷ 3 = 1 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
119 and 121428
86 and 1446192
103 and 16516995
102 and 34102
136 and 14119176

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