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Least Common Multiple (LCM) of 164 and 130

The least common multiple (LCM) of 164 and 130 is 10660.

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 130?

First, calculate the GCD of 164 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 164 ÷ 130 = 1 remainder 34
2 130 ÷ 34 = 3 remainder 28
3 34 ÷ 28 = 1 remainder 6
4 28 ÷ 6 = 4 remainder 4
5 6 ÷ 4 = 1 remainder 2
6 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
32 and 1561248
140 and 852380
89 and 16214418
41 and 1536273
62 and 1043224

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