HowManyNumbers Logo

Least Common Multiple (LCM) of 56 and 159

The least common multiple (LCM) of 56 and 159 is 8904.

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 56 and 159?

First, calculate the GCD of 56 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 56 ÷ 159 = 0 remainder 56
2 159 ÷ 56 = 2 remainder 47
3 56 ÷ 47 = 1 remainder 9
4 47 ÷ 9 = 5 remainder 2
5 9 ÷ 2 = 4 remainder 1
6 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
197 and 13025610
119 and 18321777
62 and 1479114
153 and 111683
165 and 2006600

Try Calculating LCM of Other Numbers







Related Calculators