Least Common Multiple (LCM) of 87 and 148
The least common multiple (LCM) of 87 and 148 is 12876.
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 148?
First, calculate the GCD of 87 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 87 ÷ 148 = 0 remainder 87 |
| 2 | 148 ÷ 87 = 1 remainder 61 |
| 3 | 87 ÷ 61 = 1 remainder 26 |
| 4 | 61 ÷ 26 = 2 remainder 9 |
| 5 | 26 ÷ 9 = 2 remainder 8 |
| 6 | 9 ÷ 8 = 1 remainder 1 |
| 7 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 121 | 5445 |
| 145 and 117 | 16965 |
| 182 and 165 | 30030 |
| 55 and 178 | 9790 |
| 106 and 165 | 17490 |