HowManyNumbers Logo

Least Common Multiple (LCM) of 156 and 123

The least common multiple (LCM) of 156 and 123 is 6396.

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 156 and 123?

First, calculate the GCD of 156 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 156 ÷ 123 = 1 remainder 33
2 123 ÷ 33 = 3 remainder 24
3 33 ÷ 24 = 1 remainder 9
4 24 ÷ 9 = 2 remainder 6
5 9 ÷ 6 = 1 remainder 3
6 6 ÷ 3 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
66 and 14462
162 and 1865022
152 and 1041976
188 and 13325004
50 and 12300

Try Calculating LCM of Other Numbers







Related Calculators