HowManyNumbers Logo

Least Common Multiple (LCM) of 19 and 100

The least common multiple (LCM) of 19 and 100 is 1900.

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 19 and 100?

First, calculate the GCD of 19 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 19 ÷ 100 = 0 remainder 19
2 100 ÷ 19 = 5 remainder 5
3 19 ÷ 5 = 3 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
100 and 777700
74 and 401480
59 and 118118
195 and 501950
132 and 642112

Try Calculating LCM of Other Numbers







Related Calculators