HowManyNumbers Logo

Least Common Multiple (LCM) of 20 and 100

The least common multiple (LCM) of 20 and 100 is 100.

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 100?

First, calculate the GCD of 20 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 20 ÷ 100 = 0 remainder 20
2 100 ÷ 20 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
131 and 13818078
181 and 6812308
53 and 623286
93 and 361116
38 and 1033914

Try Calculating LCM of Other Numbers







Related Calculators