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Least Common Multiple (LCM) of 188 and 119

The least common multiple (LCM) of 188 and 119 is 22372.

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 119?

First, calculate the GCD of 188 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 188 ÷ 119 = 1 remainder 69
2 119 ÷ 69 = 1 remainder 50
3 69 ÷ 50 = 1 remainder 19
4 50 ÷ 19 = 2 remainder 12
5 19 ÷ 12 = 1 remainder 7
6 12 ÷ 7 = 1 remainder 5
7 7 ÷ 5 = 1 remainder 2
8 5 ÷ 2 = 2 remainder 1
9 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
157 and 7111147
134 and 342278
81 and 15712717
20 and 1993980
161 and 548694

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