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Least Common Multiple (LCM) of 13 and 164

The least common multiple (LCM) of 13 and 164 is 2132.

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 13 and 164?

First, calculate the GCD of 13 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 164 = 0 remainder 13
2 164 ÷ 13 = 12 remainder 8
3 13 ÷ 8 = 1 remainder 5
4 8 ÷ 5 = 1 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
105 and 14210
17 and 891513
143 and 65715
130 and 9312090
98 and 514998

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