HowManyNumbers Logo

Least Common Multiple (LCM) of 109 and 19

The least common multiple (LCM) of 109 and 19 is 2071.

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 109 and 19?

First, calculate the GCD of 109 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 109 ÷ 19 = 5 remainder 14
2 19 ÷ 14 = 1 remainder 5
3 14 ÷ 5 = 2 remainder 4
4 5 ÷ 4 = 1 remainder 1
5 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
73 and 402920
57 and 19110887
129 and 692967
172 and 19416684
158 and 6510270

Try Calculating LCM of Other Numbers







Related Calculators