HowManyNumbers Logo

Least Common Multiple (LCM) of 50 and 19

The least common multiple (LCM) of 50 and 19 is 950.

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 50 and 19?

First, calculate the GCD of 50 and 19 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 50 ÷ 19 = 2 remainder 12
2 19 ÷ 12 = 1 remainder 7
3 12 ÷ 7 = 1 remainder 5
4 7 ÷ 5 = 1 remainder 2
5 5 ÷ 2 = 2 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
164 and 18730668
11 and 35385
62 and 1318122
32 and 1755600
58 and 1283712

Try Calculating LCM of Other Numbers







Related Calculators