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Least Common Multiple (LCM) of 58 and 32

The least common multiple (LCM) of 58 and 32 is 928.

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 32?

First, calculate the GCD of 58 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 32 = 1 remainder 26
2 32 ÷ 26 = 1 remainder 6
3 26 ÷ 6 = 4 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
33 and 712343
186 and 30930
104 and 864472
85 and 282380
154 and 10716478

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