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Least Common Multiple (LCM) of 85 and 120

The least common multiple (LCM) of 85 and 120 is 2040.

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 85 and 120?

First, calculate the GCD of 85 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 85 ÷ 120 = 0 remainder 85
2 120 ÷ 85 = 1 remainder 35
3 85 ÷ 35 = 2 remainder 15
4 35 ÷ 15 = 2 remainder 5
5 15 ÷ 5 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
174 and 573306
48 and 351680
186 and 16330318
112 and 232576
88 and 1868184

Try Calculating LCM of Other Numbers







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