Least Common Multiple (LCM) of 52 and 54
The least common multiple (LCM) of 52 and 54 is 1404.
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 54?
First, calculate the GCD of 52 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 54 = 0 remainder 52 |
| 2 | 54 ÷ 52 = 1 remainder 2 |
| 3 | 52 ÷ 2 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 25 | 2725 |
| 105 and 150 | 1050 |
| 93 and 38 | 3534 |
| 175 and 23 | 4025 |
| 185 and 164 | 30340 |