HowManyNumbers Logo

Least Common Multiple (LCM) of 111 and 168

The least common multiple (LCM) of 111 and 168 is 6216.

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 111 and 168?

First, calculate the GCD of 111 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 111 ÷ 168 = 0 remainder 111
2 168 ÷ 111 = 1 remainder 57
3 111 ÷ 57 = 1 remainder 54
4 57 ÷ 54 = 1 remainder 3
5 54 ÷ 3 = 18 remainder 0

Examples of LCM Calculations

NumbersLCM
35 and 140140
79 and 1038137
103 and 414223
193 and 9919107
191 and 203820

Try Calculating LCM of Other Numbers







Related Calculators