Least Common Multiple (LCM) of 151 and 52
The least common multiple (LCM) of 151 and 52 is 7852.
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 151 and 52?
First, calculate the GCD of 151 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 52 = 2 remainder 47 |
| 2 | 52 ÷ 47 = 1 remainder 5 |
| 3 | 47 ÷ 5 = 9 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 191 | 30560 |
| 69 and 65 | 4485 |
| 187 and 169 | 31603 |
| 153 and 101 | 15453 |
| 75 and 43 | 3225 |