HowManyNumbers Logo

Least Common Multiple (LCM) of 65 and 155

The least common multiple (LCM) of 65 and 155 is 2015.

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 65 and 155?

First, calculate the GCD of 65 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 65 ÷ 155 = 0 remainder 65
2 155 ÷ 65 = 2 remainder 25
3 65 ÷ 25 = 2 remainder 15
4 25 ÷ 15 = 1 remainder 10
5 15 ÷ 10 = 1 remainder 5
6 10 ÷ 5 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
86 and 15112986
194 and 13613192
148 and 1148436
179 and 9116289
151 and 14722197

Try Calculating LCM of Other Numbers







Related Calculators