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Least Common Multiple (LCM) of 25 and 70

The least common multiple (LCM) of 25 and 70 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 25 and 70?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
29 and 1524408
20 and 1873740
86 and 1345762
101 and 828282
108 and 13314364

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