Least Common Multiple (LCM) of 153 and 99
The least common multiple (LCM) of 153 and 99 is 1683.
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 153 and 99?
First, calculate the GCD of 153 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 99 = 1 remainder 54 |
| 2 | 99 ÷ 54 = 1 remainder 45 |
| 3 | 54 ÷ 45 = 1 remainder 9 |
| 4 | 45 ÷ 9 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 173 | 33389 |
| 187 and 80 | 14960 |
| 140 and 70 | 140 |
| 168 and 125 | 21000 |
| 74 and 107 | 7918 |