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Least Common Multiple (LCM) of 134 and 60

The least common multiple (LCM) of 134 and 60 is 4020.

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 134 and 60?

First, calculate the GCD of 134 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 60 = 2 remainder 14
2 60 ÷ 14 = 4 remainder 4
3 14 ÷ 4 = 3 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
56 and 742072
41 and 431763
147 and 35735
144 and 512448
101 and 16416564

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