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Least Common Multiple (LCM) of 70 and 81

The least common multiple (LCM) of 70 and 81 is 5670.

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 81?

First, calculate the GCD of 70 and 81 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 81 = 0 remainder 70
2 81 ÷ 70 = 1 remainder 11
3 70 ÷ 11 = 6 remainder 4
4 11 ÷ 4 = 2 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
20 and 24120
134 and 1389246
28 and 27756
33 and 25825
60 and 1438580

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