HowManyNumbers Logo

Least Common Multiple (LCM) of 66 and 56

The least common multiple (LCM) of 66 and 56 is 1848.

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 66 and 56?

First, calculate the GCD of 66 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 66 ÷ 56 = 1 remainder 10
2 56 ÷ 10 = 5 remainder 6
3 10 ÷ 6 = 1 remainder 4
4 6 ÷ 4 = 1 remainder 2
5 4 ÷ 2 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
109 and 677303
122 and 12915738
192 and 522496
134 and 986566
174 and 867482

Try Calculating LCM of Other Numbers







Related Calculators