HowManyNumbers Logo

Least Common Multiple (LCM) of 116 and 170

The least common multiple (LCM) of 116 and 170 is 9860.

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 170?

First, calculate the GCD of 116 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 116 ÷ 170 = 0 remainder 116
2 170 ÷ 116 = 1 remainder 54
3 116 ÷ 54 = 2 remainder 8
4 54 ÷ 8 = 6 remainder 6
5 8 ÷ 6 = 1 remainder 2
6 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
170 and 1655610
113 and 9710961
42 and 1162436
158 and 564424
52 and 1904940

Try Calculating LCM of Other Numbers







Related Calculators