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Least Common Multiple (LCM) of 60 and 152

The least common multiple (LCM) of 60 and 152 is 2280.

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 60 and 152?

First, calculate the GCD of 60 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 60 ÷ 152 = 0 remainder 60
2 152 ÷ 60 = 2 remainder 32
3 60 ÷ 32 = 1 remainder 28
4 32 ÷ 28 = 1 remainder 4
5 28 ÷ 4 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
11 and 1331463
104 and 19119864
89 and 1079523
176 and 1601760
28 and 1554340

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