Least Common Multiple (LCM) of 24 and 23
The least common multiple (LCM) of 24 and 23 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 23?
First, calculate the GCD of 24 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 23 = 1 remainder 1 |
| 2 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 78 | 4134 |
| 88 and 141 | 12408 |
| 121 and 34 | 4114 |
| 160 and 83 | 13280 |
| 137 and 148 | 20276 |