HowManyNumbers Logo

Least Common Multiple (LCM) of 177 and 135

The least common multiple (LCM) of 177 and 135 is 7965.

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 177 and 135?

First, calculate the GCD of 177 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 177 ÷ 135 = 1 remainder 42
2 135 ÷ 42 = 3 remainder 9
3 42 ÷ 9 = 4 remainder 6
4 9 ÷ 6 = 1 remainder 3
5 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
115 and 364140
193 and 17233196
180 and 421260
121 and 8410164
174 and 16128014

Try Calculating LCM of Other Numbers







Related Calculators