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Least Common Multiple (LCM) of 82 and 70

The least common multiple (LCM) of 82 and 70 is 2870.

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 82 and 70?

First, calculate the GCD of 82 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 82 ÷ 70 = 1 remainder 12
2 70 ÷ 12 = 5 remainder 10
3 12 ÷ 10 = 1 remainder 2
4 10 ÷ 2 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
102 and 10110302
147 and 385586
128 and 10640
84 and 30420
109 and 16517985

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