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Least Common Multiple (LCM) of 32 and 100

The least common multiple (LCM) of 32 and 100 is 800.

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 32 and 100?

First, calculate the GCD of 32 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 32 ÷ 100 = 0 remainder 32
2 100 ÷ 32 = 3 remainder 4
3 32 ÷ 4 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
99 and 77693
144 and 19413968
127 and 14518415
33 and 1171287
51 and 1562652

Try Calculating LCM of Other Numbers







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