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Least Common Multiple (LCM) of 70 and 86

The least common multiple (LCM) of 70 and 86 is 3010.

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 86?

First, calculate the GCD of 70 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 86 = 0 remainder 70
2 86 ÷ 70 = 1 remainder 16
3 70 ÷ 16 = 4 remainder 6
4 16 ÷ 6 = 2 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
186 and 13012090
159 and 17327507
175 and 17230100
53 and 1387314
188 and 193572

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