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Least Common Multiple (LCM) of 97 and 59

The least common multiple (LCM) of 97 and 59 is 5723.

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 59?

First, calculate the GCD of 97 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 97 ÷ 59 = 1 remainder 38
2 59 ÷ 38 = 1 remainder 21
3 38 ÷ 21 = 1 remainder 17
4 21 ÷ 17 = 1 remainder 4
5 17 ÷ 4 = 4 remainder 1
6 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
94 and 1044888
14 and 140140
127 and 19224384
193 and 315983
71 and 453195

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