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Least Common Multiple (LCM) of 25 and 42

The least common multiple (LCM) of 25 and 42 is 1050.

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 25 and 42?

First, calculate the GCD of 25 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 25 ÷ 42 = 0 remainder 25
2 42 ÷ 25 = 1 remainder 17
3 25 ÷ 17 = 1 remainder 8
4 17 ÷ 8 = 2 remainder 1
5 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
163 and 416683
23 and 992277
38 and 1001900
39 and 803120
61 and 925612

Try Calculating LCM of Other Numbers







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