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Least Common Multiple (LCM) of 20 and 67

The least common multiple (LCM) of 20 and 67 is 1340.

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 67?

First, calculate the GCD of 20 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 67 = 0 remainder 20
2 67 ÷ 20 = 3 remainder 7
3 20 ÷ 7 = 2 remainder 6
4 7 ÷ 6 = 1 remainder 1
5 6 ÷ 1 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
24 and 1192856
35 and 612135
86 and 1038858
194 and 12211834
35 and 1525320

Try Calculating LCM of Other Numbers







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