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Least Common Multiple (LCM) of 97 and 65

The least common multiple (LCM) of 97 and 65 is 6305.

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 97 and 65?

First, calculate the GCD of 97 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 65 = 1 remainder 32
2 65 ÷ 32 = 2 remainder 1
3 32 ÷ 1 = 32 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 792765
170 and 539010
126 and 1167308
73 and 624526
135 and 8912015

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