Least Common Multiple (LCM) of 87 and 151
The least common multiple (LCM) of 87 and 151 is 13137.
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 87 and 151?
First, calculate the GCD of 87 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 151 = 0 remainder 87 |
| 2 | 151 ÷ 87 = 1 remainder 64 |
| 3 | 87 ÷ 64 = 1 remainder 23 |
| 4 | 64 ÷ 23 = 2 remainder 18 |
| 5 | 23 ÷ 18 = 1 remainder 5 |
| 6 | 18 ÷ 5 = 3 remainder 3 |
| 7 | 5 ÷ 3 = 1 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 140 | 3220 |
| 82 and 88 | 3608 |
| 33 and 105 | 1155 |
| 104 and 11 | 1144 |
| 191 and 60 | 11460 |