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Least Common Multiple (LCM) of 13 and 188

The least common multiple (LCM) of 13 and 188 is 2444.

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 188?

First, calculate the GCD of 13 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 13 ÷ 188 = 0 remainder 13
2 188 ÷ 13 = 14 remainder 6
3 13 ÷ 6 = 2 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
61 and 985978
96 and 11310848
120 and 718520
77 and 856545
36 and 701260

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