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Least Common Multiple (LCM) of 100 and 97

The least common multiple (LCM) of 100 and 97 is 9700.

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 100 and 97?

First, calculate the GCD of 100 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 100 ÷ 97 = 1 remainder 3
2 97 ÷ 3 = 32 remainder 1
3 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
169 and 437267
44 and 713124
31 and 1544774
175 and 6210850
120 and 17810680

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