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Least Common Multiple (LCM) of 134 and 100

The least common multiple (LCM) of 134 and 100 is 6700.

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 100?

First, calculate the GCD of 134 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 134 ÷ 100 = 1 remainder 34
2 100 ÷ 34 = 2 remainder 32
3 34 ÷ 32 = 1 remainder 2
4 32 ÷ 2 = 16 remainder 0

Examples of LCM Calculations

NumbersLCM
23 and 1042392
159 and 14022260
101 and 15215352
47 and 17799
192 and 1504800

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