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Least Common Multiple (LCM) of 58 and 120

The least common multiple (LCM) of 58 and 120 is 3480.

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 120?

First, calculate the GCD of 58 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 58 ÷ 120 = 0 remainder 58
2 120 ÷ 58 = 2 remainder 4
3 58 ÷ 4 = 14 remainder 2
4 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
147 and 8512495
123 and 1385658
50 and 994950
64 and 52832
122 and 885368

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