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Least Common Multiple (LCM) of 164 and 57

The least common multiple (LCM) of 164 and 57 is 9348.

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 57?

First, calculate the GCD of 164 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 57 = 2 remainder 50
2 57 ÷ 50 = 1 remainder 7
3 50 ÷ 7 = 7 remainder 1
4 7 ÷ 1 = 7 remainder 0

Examples of LCM Calculations

NumbersLCM
97 and 494753
149 and 18026820
118 and 402360
48 and 42336
192 and 356720

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