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Least Common Multiple (LCM) of 71 and 25

The least common multiple (LCM) of 71 and 25 is 1775.

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 71 and 25?

First, calculate the GCD of 71 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 71 ÷ 25 = 2 remainder 21
2 25 ÷ 21 = 1 remainder 4
3 21 ÷ 4 = 5 remainder 1
4 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
167 and 18731229
16 and 911456
158 and 11117538
90 and 1711710
116 and 14812

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