HowManyNumbers Logo

Least Common Multiple (LCM) of 116 and 172

The least common multiple (LCM) of 116 and 172 is 4988.

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 116 and 172?

First, calculate the GCD of 116 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 172 = 0 remainder 116
2 172 ÷ 116 = 1 remainder 56
3 116 ÷ 56 = 2 remainder 4
4 56 ÷ 4 = 14 remainder 0

Examples of LCM Calculations

NumbersLCM
41 and 15615
93 and 13012090
149 and 17425926
25 and 1984950
129 and 17622704

Try Calculating LCM of Other Numbers







Related Calculators