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Least Common Multiple (LCM) of 24 and 59

The least common multiple (LCM) of 24 and 59 is 1416.

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 24 and 59?

First, calculate the GCD of 24 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 59 = 0 remainder 24
2 59 ÷ 24 = 2 remainder 11
3 24 ÷ 11 = 2 remainder 2
4 11 ÷ 2 = 5 remainder 1
5 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
158 and 15011850
25 and 38950
91 and 65455
61 and 1116771
82 and 1265166

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