HowManyNumbers Logo

Least Common Multiple (LCM) of 20 and 194

The least common multiple (LCM) of 20 and 194 is 1940.

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 194?

First, calculate the GCD of 20 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 194 = 0 remainder 20
2 194 ÷ 20 = 9 remainder 14
3 20 ÷ 14 = 1 remainder 6
4 14 ÷ 6 = 2 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
118 and 865074
37 and 521924
60 and 1183540
116 and 1845336
159 and 14523055

Try Calculating LCM of Other Numbers







Related Calculators