HowManyNumbers Logo

Least Common Multiple (LCM) of 14 and 138

The least common multiple (LCM) of 14 and 138 is 966.

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 14 and 138?

First, calculate the GCD of 14 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 14 ÷ 138 = 0 remainder 14
2 138 ÷ 14 = 9 remainder 12
3 14 ÷ 12 = 1 remainder 2
4 12 ÷ 2 = 6 remainder 0

Examples of LCM Calculations

NumbersLCM
140 and 13919460
185 and 16630710
120 and 140840
133 and 17723541
172 and 786708

Try Calculating LCM of Other Numbers







Related Calculators