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Least Common Multiple (LCM) of 59 and 23

The least common multiple (LCM) of 59 and 23 is 1357.

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 23?

First, calculate the GCD of 59 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 59 ÷ 23 = 2 remainder 13
2 23 ÷ 13 = 1 remainder 10
3 13 ÷ 10 = 1 remainder 3
4 10 ÷ 3 = 3 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
144 and 281008
180 and 1101980
40 and 136680
148 and 18727676
53 and 633339

Try Calculating LCM of Other Numbers







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