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Least Common Multiple (LCM) of 195 and 57

The least common multiple (LCM) of 195 and 57 is 3705.

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 57?

First, calculate the GCD of 195 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 195 ÷ 57 = 3 remainder 24
2 57 ÷ 24 = 2 remainder 9
3 24 ÷ 9 = 2 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
97 and 646208
64 and 1304160
171 and 95855
66 and 1561716
85 and 1853145

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