HowManyNumbers Logo

Least Common Multiple (LCM) of 50 and 135

The least common multiple (LCM) of 50 and 135 is 1350.

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 135?

First, calculate the GCD of 50 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 50 ÷ 135 = 0 remainder 50
2 135 ÷ 50 = 2 remainder 35
3 50 ÷ 35 = 1 remainder 15
4 35 ÷ 15 = 2 remainder 5
5 15 ÷ 5 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
74 and 441628
188 and 482256
84 and 1042184
112 and 2002800
55 and 1317205

Try Calculating LCM of Other Numbers







Related Calculators