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Least Common Multiple (LCM) of 20 and 190

The least common multiple (LCM) of 20 and 190 is 380.

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 190?

First, calculate the GCD of 20 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 190 = 0 remainder 20
2 190 ÷ 20 = 9 remainder 10
3 20 ÷ 10 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
124 and 11914756
43 and 1867998
83 and 1129296
67 and 1107370
90 and 1647380

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