HowManyNumbers Logo

Least Common Multiple (LCM) of 95 and 170

The least common multiple (LCM) of 95 and 170 is 3230.

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 95 and 170?

First, calculate the GCD of 95 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 95 ÷ 170 = 0 remainder 95
2 170 ÷ 95 = 1 remainder 75
3 95 ÷ 75 = 1 remainder 20
4 75 ÷ 20 = 3 remainder 15
5 20 ÷ 15 = 1 remainder 5
6 15 ÷ 5 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
157 and 487536
87 and 33957
72 and 84504
59 and 19911741
178 and 16329014

Try Calculating LCM of Other Numbers







Related Calculators