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Least Common Multiple (LCM) of 123 and 35

The least common multiple (LCM) of 123 and 35 is 4305.

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 35?

First, calculate the GCD of 123 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 123 ÷ 35 = 3 remainder 18
2 35 ÷ 18 = 1 remainder 17
3 18 ÷ 17 = 1 remainder 1
4 17 ÷ 1 = 17 remainder 0

Examples of LCM Calculations

NumbersLCM
129 and 17822962
152 and 544104
71 and 312201
182 and 10719474
38 and 1422698

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