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Least Common Multiple (LCM) of 58 and 96

The least common multiple (LCM) of 58 and 96 is 2784.

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 58 and 96?

First, calculate the GCD of 58 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 96 = 0 remainder 58
2 96 ÷ 58 = 1 remainder 38
3 58 ÷ 38 = 1 remainder 20
4 38 ÷ 20 = 1 remainder 18
5 20 ÷ 18 = 1 remainder 2
6 18 ÷ 2 = 9 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 1135763
27 and 1614347
89 and 474183
115 and 17620240
95 and 1452755

Try Calculating LCM of Other Numbers







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