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Least Common Multiple (LCM) of 70 and 25

The least common multiple (LCM) of 70 and 25 is 350.

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 70 and 25?

First, calculate the GCD of 70 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 25 = 2 remainder 20
2 25 ÷ 20 = 1 remainder 5
3 20 ÷ 5 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
146 and 15722922
115 and 738395
113 and 10511865
31 and 1885828
57 and 1498493

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