HowManyNumbers Logo

Least Common Multiple (LCM) of 165 and 123

The least common multiple (LCM) of 165 and 123 is 6765.

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 165 and 123?

First, calculate the GCD of 165 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 165 ÷ 123 = 1 remainder 42
2 123 ÷ 42 = 2 remainder 39
3 42 ÷ 39 = 1 remainder 3
4 39 ÷ 3 = 13 remainder 0

Examples of LCM Calculations

NumbersLCM
38 and 1917258
106 and 1146042
152 and 1041976
156 and 8312948
37 and 281036

Try Calculating LCM of Other Numbers







Related Calculators