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Least Common Multiple (LCM) of 197 and 188

The least common multiple (LCM) of 197 and 188 is 37036.

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 197 and 188?

First, calculate the GCD of 197 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 197 ÷ 188 = 1 remainder 9
2 188 ÷ 9 = 20 remainder 8
3 9 ÷ 8 = 1 remainder 1
4 8 ÷ 1 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
34 and 56952
109 and 15817222
120 and 342040
149 and 13219668
136 and 9713192

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