HowManyNumbers Logo

Least Common Multiple (LCM) of 18 and 67

The least common multiple (LCM) of 18 and 67 is 1206.

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 67?

First, calculate the GCD of 18 and 67 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 18 ÷ 67 = 0 remainder 18
2 67 ÷ 18 = 3 remainder 13
3 18 ÷ 13 = 1 remainder 5
4 13 ÷ 5 = 2 remainder 3
5 5 ÷ 3 = 1 remainder 2
6 3 ÷ 2 = 1 remainder 1
7 2 ÷ 1 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
184 and 315704
148 and 16612284
190 and 19218240
120 and 12715240
183 and 18133123

Try Calculating LCM of Other Numbers







Related Calculators