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Least Common Multiple (LCM) of 195 and 188

The least common multiple (LCM) of 195 and 188 is 36660.

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 195 and 188?

First, calculate the GCD of 195 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 195 ÷ 188 = 1 remainder 7
2 188 ÷ 7 = 26 remainder 6
3 7 ÷ 6 = 1 remainder 1
4 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
153 and 934743
73 and 755475
36 and 57684
191 and 112101
158 and 158158

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