HowManyNumbers Logo

Least Common Multiple (LCM) of 18 and 133

The least common multiple (LCM) of 18 and 133 is 2394.

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 18 and 133?

First, calculate the GCD of 18 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 133 = 0 remainder 18
2 133 ÷ 18 = 7 remainder 7
3 18 ÷ 7 = 2 remainder 4
4 7 ÷ 4 = 1 remainder 3
5 4 ÷ 3 = 1 remainder 1
6 3 ÷ 1 = 3 remainder 0

Examples of LCM Calculations

NumbersLCM
43 and 612623
193 and 366948
155 and 10315965
149 and 365364
19 and 1252375

Try Calculating LCM of Other Numbers







Related Calculators