Least Common Multiple (LCM) of 152 and 52
The least common multiple (LCM) of 152 and 52 is 1976.
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 152 and 52?
First, calculate the GCD of 152 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 52 = 2 remainder 48 |
| 2 | 52 ÷ 48 = 1 remainder 4 |
| 3 | 48 ÷ 4 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 15 | 105 |
| 13 and 83 | 1079 |
| 65 and 115 | 1495 |
| 159 and 128 | 20352 |
| 190 and 105 | 3990 |