HowManyNumbers Logo

Least Common Multiple (LCM) of 112 and 66

The least common multiple (LCM) of 112 and 66 is 3696.

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 112 and 66?

First, calculate the GCD of 112 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 112 ÷ 66 = 1 remainder 46
2 66 ÷ 46 = 1 remainder 20
3 46 ÷ 20 = 2 remainder 6
4 20 ÷ 6 = 3 remainder 2
5 6 ÷ 2 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
21 and 891869
192 and 36576
103 and 666798
30 and 31930
160 and 1121120

Try Calculating LCM of Other Numbers







Related Calculators