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Least Common Multiple (LCM) of 36 and 85

The least common multiple (LCM) of 36 and 85 is 3060.

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 36 and 85?

First, calculate the GCD of 36 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 36 ÷ 85 = 0 remainder 36
2 85 ÷ 36 = 2 remainder 13
3 36 ÷ 13 = 2 remainder 10
4 13 ÷ 10 = 1 remainder 3
5 10 ÷ 3 = 3 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
98 and 381862
157 and 16125277
79 and 1138927
34 and 1093706
11 and 1641804

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