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Least Common Multiple (LCM) of 102 and 134

The least common multiple (LCM) of 102 and 134 is 6834.

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 102 and 134?

First, calculate the GCD of 102 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 102 ÷ 134 = 0 remainder 102
2 134 ÷ 102 = 1 remainder 32
3 102 ÷ 32 = 3 remainder 6
4 32 ÷ 6 = 5 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
19 and 1242356
47 and 1034841
160 and 15480
184 and 417544
167 and 8013360

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