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Least Common Multiple (LCM) of 134 and 140

The least common multiple (LCM) of 134 and 140 is 9380.

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 134 and 140?

First, calculate the GCD of 134 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 140 = 0 remainder 134
2 140 ÷ 134 = 1 remainder 6
3 134 ÷ 6 = 22 remainder 2
4 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
60 and 84420
127 and 15619812
86 and 978342
158 and 12319434
19 and 741406

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