HowManyNumbers Logo

Least Common Multiple (LCM) of 159 and 56

The least common multiple (LCM) of 159 and 56 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 159 and 56?

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

Step-by-Step GCD Calculation

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

Examples of LCM Calculations

NumbersLCM
35 and 1786230
171 and 20034200
110 and 495390
108 and 1604320
67 and 10670

Try Calculating LCM of Other Numbers







Related Calculators