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Least Common Multiple (LCM) of 133 and 60

The least common multiple (LCM) of 133 and 60 is 7980.

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 133 and 60?

First, calculate the GCD of 133 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 133 ÷ 60 = 2 remainder 13
2 60 ÷ 13 = 4 remainder 8
3 13 ÷ 8 = 1 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
29 and 1925568
189 and 12523625
154 and 1027854
139 and 11916541
12 and 52156

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