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Least Common Multiple (LCM) of 66 and 152

The least common multiple (LCM) of 66 and 152 is 5016.

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 66 and 152?

First, calculate the GCD of 66 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 152 = 0 remainder 66
2 152 ÷ 66 = 2 remainder 20
3 66 ÷ 20 = 3 remainder 6
4 20 ÷ 6 = 3 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
114 and 556270
18 and 1281152
121 and 253025
165 and 1146270
132 and 1536732

Try Calculating LCM of Other Numbers







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