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Least Common Multiple (LCM) of 45 and 85

The least common multiple (LCM) of 45 and 85 is 765.

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 85?

First, calculate the GCD of 45 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 45 ÷ 85 = 0 remainder 45
2 85 ÷ 45 = 1 remainder 40
3 45 ÷ 40 = 1 remainder 5
4 40 ÷ 5 = 8 remainder 0

Examples of LCM Calculations

NumbersLCM
195 and 702730
118 and 19523010
198 and 706930
149 and 8712963
120 and 10712840

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