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Least Common Multiple (LCM) of 70 and 137

The least common multiple (LCM) of 70 and 137 is 9590.

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 137?

First, calculate the GCD of 70 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 70 ÷ 137 = 0 remainder 70
2 137 ÷ 70 = 1 remainder 67
3 70 ÷ 67 = 1 remainder 3
4 67 ÷ 3 = 22 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
36 and 23828
50 and 621550
142 and 253550
120 and 10312360
98 and 1426958

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