Least Common Multiple (LCM) of 154 and 99
The least common multiple (LCM) of 154 and 99 is 1386.
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 99?
First, calculate the GCD of 154 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 99 = 1 remainder 55 |
| 2 | 99 ÷ 55 = 1 remainder 44 |
| 3 | 55 ÷ 44 = 1 remainder 11 |
| 4 | 44 ÷ 11 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 147 | 25284 |
| 114 and 127 | 14478 |
| 48 and 46 | 1104 |
| 147 and 167 | 24549 |
| 99 and 123 | 4059 |