HowManyNumbers Logo

Least Common Multiple (LCM) of 140 and 156

The least common multiple (LCM) of 140 and 156 is 5460.

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 156?

First, calculate the GCD of 140 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 140 ÷ 156 = 0 remainder 140
2 156 ÷ 140 = 1 remainder 16
3 140 ÷ 16 = 8 remainder 12
4 16 ÷ 12 = 1 remainder 4
5 12 ÷ 4 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
13 and 48624
123 and 11013530
173 and 5910207
170 and 51510
31 and 1063286

Try Calculating LCM of Other Numbers







Related Calculators