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Least Common Multiple (LCM) of 71 and 30

The least common multiple (LCM) of 71 and 30 is 2130.

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 30?

First, calculate the GCD of 71 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 71 ÷ 30 = 2 remainder 11
2 30 ÷ 11 = 2 remainder 8
3 11 ÷ 8 = 1 remainder 3
4 8 ÷ 3 = 2 remainder 2
5 3 ÷ 2 = 1 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
149 and 8212218
137 and 7710549
181 and 16630046
13 and 5252
85 and 651105

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