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Least Common Multiple (LCM) of 20 and 170

The least common multiple (LCM) of 20 and 170 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 170?

First, calculate the GCD of 20 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 170 = 0 remainder 20
2 170 ÷ 20 = 8 remainder 10
3 20 ÷ 10 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
26 and 812106
113 and 313503
167 and 569352
49 and 552695
43 and 652795

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