HowManyNumbers Logo

Least Common Multiple (LCM) of 52 and 123

The least common multiple (LCM) of 52 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 52 and 123?

First, calculate the GCD of 52 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 52 ÷ 123 = 0 remainder 52
2 123 ÷ 52 = 2 remainder 19
3 52 ÷ 19 = 2 remainder 14
4 19 ÷ 14 = 1 remainder 5
5 14 ÷ 5 = 2 remainder 4
6 5 ÷ 4 = 1 remainder 1
7 4 ÷ 1 = 4 remainder 0

Examples of LCM Calculations

NumbersLCM
95 and 10810260
47 and 924324
49 and 1426958
64 and 56448
170 and 477990

Try Calculating LCM of Other Numbers







Related Calculators