HowManyNumbers Logo

Least Common Multiple (LCM) of 24 and 46

The least common multiple (LCM) of 24 and 46 is 552.

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 24 and 46?

First, calculate the GCD of 24 and 46 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 24 ÷ 46 = 0 remainder 24
2 46 ÷ 24 = 1 remainder 22
3 24 ÷ 22 = 1 remainder 2
4 22 ÷ 2 = 11 remainder 0

Examples of LCM Calculations

NumbersLCM
121 and 12915609
188 and 458460
175 and 9216100
113 and 444972
170 and 262210

Try Calculating LCM of Other Numbers







Related Calculators