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Least Common Multiple (LCM) of 52 and 105

The least common multiple (LCM) of 52 and 105 is 5460.

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 52 and 105?

First, calculate the GCD of 52 and 105 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 105 = 0 remainder 52
2 105 ÷ 52 = 2 remainder 1
3 52 ÷ 1 = 52 remainder 0

Examples of LCM Calculations

NumbersLCM
61 and 17010370
157 and 14021980
113 and 637119
83 and 655395
110 and 20220

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