HowManyNumbers Logo

Least Common Multiple (LCM) of 122 and 173

The least common multiple (LCM) of 122 and 173 is 21106.

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 122 and 173?

First, calculate the GCD of 122 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 122 ÷ 173 = 0 remainder 122
2 173 ÷ 122 = 1 remainder 51
3 122 ÷ 51 = 2 remainder 20
4 51 ÷ 20 = 2 remainder 11
5 20 ÷ 11 = 1 remainder 9
6 11 ÷ 9 = 1 remainder 2
7 9 ÷ 2 = 4 remainder 1
8 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
189 and 14378
29 and 852465
139 and 141946
96 and 1105280
89 and 1029078

Try Calculating LCM of Other Numbers







Related Calculators