HowManyNumbers Logo

Least Common Multiple (LCM) of 55 and 80

The least common multiple (LCM) of 55 and 80 is 880.

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 55 and 80?

First, calculate the GCD of 55 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 55 ÷ 80 = 0 remainder 55
2 80 ÷ 55 = 1 remainder 25
3 55 ÷ 25 = 2 remainder 5
4 25 ÷ 5 = 5 remainder 0

Examples of LCM Calculations

NumbersLCM
30 and 40120
88 and 17315224
59 and 291711
108 and 1171404
57 and 975529

Try Calculating LCM of Other Numbers







Related Calculators