Least Common Multiple (LCM) of 154 and 87
The least common multiple (LCM) of 154 and 87 is 13398.
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 154 and 87?
First, calculate the GCD of 154 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 87 = 1 remainder 67 |
| 2 | 87 ÷ 67 = 1 remainder 20 |
| 3 | 67 ÷ 20 = 3 remainder 7 |
| 4 | 20 ÷ 7 = 2 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 28 and 17 | 476 |
| 38 and 31 | 1178 |
| 12 and 131 | 1572 |
| 119 and 194 | 23086 |
| 145 and 160 | 4640 |