Least Common Multiple (LCM) of 24 and 118
The least common multiple (LCM) of 24 and 118 is 1416.
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 118?
First, calculate the GCD of 24 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 118 = 0 remainder 24 |
| 2 | 118 ÷ 24 = 4 remainder 22 |
| 3 | 24 ÷ 22 = 1 remainder 2 |
| 4 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 53 | 6572 |
| 75 and 148 | 11100 |
| 59 and 178 | 10502 |
| 30 and 82 | 1230 |
| 113 and 64 | 7232 |