Least Common Multiple (LCM) of 52 and 37
The least common multiple (LCM) of 52 and 37 is 1924.
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 37?
First, calculate the GCD of 52 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 37 = 1 remainder 15 |
| 2 | 37 ÷ 15 = 2 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 88 | 88 |
| 128 and 94 | 6016 |
| 14 and 89 | 1246 |
| 141 and 38 | 5358 |
| 117 and 159 | 6201 |