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Least Common Multiple (LCM) of 123 and 58

The least common multiple (LCM) of 123 and 58 is 7134.

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 123 and 58?

First, calculate the GCD of 123 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 58 = 2 remainder 7
2 58 ÷ 7 = 8 remainder 2
3 7 ÷ 2 = 3 remainder 1
4 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
152 and 18127512
139 and 15922101
64 and 341088
140 and 56280
119 and 16319397

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