HowManyNumbers Logo

Least Common Multiple (LCM) of 135 and 145

The least common multiple (LCM) of 135 and 145 is 3915.

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 135 and 145?

First, calculate the GCD of 135 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 135 ÷ 145 = 0 remainder 135
2 145 ÷ 135 = 1 remainder 10
3 135 ÷ 10 = 13 remainder 5
4 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 12810880
39 and 1051365
170 and 1354590
135 and 721080
180 and 383420

Try Calculating LCM of Other Numbers







Related Calculators