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Least Common Multiple (LCM) of 20 and 85

The least common multiple (LCM) of 20 and 85 is 340.

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 20 and 85?

First, calculate the GCD of 20 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 85 = 0 remainder 20
2 85 ÷ 20 = 4 remainder 5
3 20 ÷ 5 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
48 and 54432
160 and 852720
85 and 1853145
116 and 1468468
70 and 21210

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