Least Common Multiple (LCM) of 99 and 154
The least common multiple (LCM) of 99 and 154 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 99 and 154?
First, calculate the GCD of 99 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 99 ÷ 154 = 0 remainder 99 |
| 2 | 154 ÷ 99 = 1 remainder 55 |
| 3 | 99 ÷ 55 = 1 remainder 44 |
| 4 | 55 ÷ 44 = 1 remainder 11 |
| 5 | 44 ÷ 11 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 101 | 12524 |
| 72 and 133 | 9576 |
| 138 and 10 | 690 |
| 119 and 92 | 10948 |
| 58 and 40 | 1160 |