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Least Common Multiple (LCM) of 164 and 134

The least common multiple (LCM) of 164 and 134 is 10988.

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 164 and 134?

First, calculate the GCD of 164 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 134 = 1 remainder 30
2 134 ÷ 30 = 4 remainder 14
3 30 ÷ 14 = 2 remainder 2
4 14 ÷ 2 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
194 and 16331622
66 and 1036798
107 and 414387
135 and 15135
136 and 865848

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