Least Common Multiple (LCM) of 57 and 151
The least common multiple (LCM) of 57 and 151 is 8607.
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 57 and 151?
First, calculate the GCD of 57 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 57 ÷ 151 = 0 remainder 57 |
| 2 | 151 ÷ 57 = 2 remainder 37 |
| 3 | 57 ÷ 37 = 1 remainder 20 |
| 4 | 37 ÷ 20 = 1 remainder 17 |
| 5 | 20 ÷ 17 = 1 remainder 3 |
| 6 | 17 ÷ 3 = 5 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 44 | 2244 |
| 50 and 30 | 150 |
| 108 and 147 | 5292 |
| 18 and 129 | 774 |
| 80 and 107 | 8560 |