HowManyNumbers Logo

Least Common Multiple (LCM) of 140 and 170

The least common multiple (LCM) of 140 and 170 is 2380.

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 140 and 170?

First, calculate the GCD of 140 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 170 = 0 remainder 140
2 170 ÷ 140 = 1 remainder 30
3 140 ÷ 30 = 4 remainder 20
4 30 ÷ 20 = 1 remainder 10
5 20 ÷ 10 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
168 and 294872
191 and 18735717
47 and 1175499
110 and 13114410
68 and 881496

Try Calculating LCM of Other Numbers







Related Calculators