HowManyNumbers Logo

Least Common Multiple (LCM) of 49 and 165

The least common multiple (LCM) of 49 and 165 is 8085.

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 49 and 165?

First, calculate the GCD of 49 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 49 ÷ 165 = 0 remainder 49
2 165 ÷ 49 = 3 remainder 18
3 49 ÷ 18 = 2 remainder 13
4 18 ÷ 13 = 1 remainder 5
5 13 ÷ 5 = 2 remainder 3
6 5 ÷ 3 = 1 remainder 2
7 3 ÷ 2 = 1 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
101 and 19920099
197 and 244728
81 and 19115471
31 and 1815611
136 and 19413192

Try Calculating LCM of Other Numbers







Related Calculators