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Least Common Multiple (LCM) of 45 and 195

The least common multiple (LCM) of 45 and 195 is 585.

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 45 and 195?

First, calculate the GCD of 45 and 195 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 195 = 0 remainder 45
2 195 ÷ 45 = 4 remainder 15
3 45 ÷ 15 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
70 and 18312810
104 and 341768
120 and 50600
85 and 15212920
113 and 18220566

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