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Least Common Multiple (LCM) of 59 and 65

The least common multiple (LCM) of 59 and 65 is 3835.

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 59 and 65?

First, calculate the GCD of 59 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 65 = 0 remainder 59
2 65 ÷ 59 = 1 remainder 6
3 59 ÷ 6 = 9 remainder 5
4 6 ÷ 5 = 1 remainder 1
5 5 ÷ 1 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
177 and 211239
83 and 17114193
39 and 1335187
142 and 11316046
87 and 221914

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