Least Common Multiple (LCM) of 51 and 141
The least common multiple (LCM) of 51 and 141 is 2397.
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 51 and 141?
First, calculate the GCD of 51 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 141 = 0 remainder 51 |
| 2 | 141 ÷ 51 = 2 remainder 39 |
| 3 | 51 ÷ 39 = 1 remainder 12 |
| 4 | 39 ÷ 12 = 3 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 164 | 4264 |
| 93 and 69 | 2139 |
| 160 and 140 | 1120 |
| 131 and 72 | 9432 |
| 182 and 28 | 364 |