HowManyNumbers Logo

Least Common Multiple (LCM) of 44 and 17

The least common multiple (LCM) of 44 and 17 is 748.

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 44 and 17?

First, calculate the GCD of 44 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 44 ÷ 17 = 2 remainder 10
2 17 ÷ 10 = 1 remainder 7
3 10 ÷ 7 = 1 remainder 3
4 7 ÷ 3 = 2 remainder 1
5 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
47 and 432021
143 and 13519305
184 and 17932936
77 and 745698
88 and 312728

Try Calculating LCM of Other Numbers







Related Calculators