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Least Common Multiple (LCM) of 70 and 76

The least common multiple (LCM) of 70 and 76 is 2660.

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 76?

First, calculate the GCD of 70 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 76 = 0 remainder 70
2 76 ÷ 70 = 1 remainder 6
3 70 ÷ 6 = 11 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
55 and 1498195
178 and 7713706
197 and 11622852
20 and 1573140
81 and 625022

Try Calculating LCM of Other Numbers







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