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Least Common Multiple (LCM) of 30 and 64

The least common multiple (LCM) of 30 and 64 is 960.

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 30 and 64?

First, calculate the GCD of 30 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 30 ÷ 64 = 0 remainder 30
2 64 ÷ 30 = 2 remainder 4
3 30 ÷ 4 = 7 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
162 and 1981782
99 and 511683
32 and 84672
161 and 15224472
196 and 884312

Try Calculating LCM of Other Numbers







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