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Least Common Multiple (LCM) of 188 and 59

The least common multiple (LCM) of 188 and 59 is 11092.

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 188 and 59?

First, calculate the GCD of 188 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 59 = 3 remainder 11
2 59 ÷ 11 = 5 remainder 4
3 11 ÷ 4 = 2 remainder 3
4 4 ÷ 3 = 1 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 19924079
189 and 1403780
197 and 9518715
109 and 121308
37 and 11407

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