Least Common Multiple (LCM) of 153 and 108
The least common multiple (LCM) of 153 and 108 is 1836.
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 108?
First, calculate the GCD of 153 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 108 = 1 remainder 45 |
| 2 | 108 ÷ 45 = 2 remainder 18 |
| 3 | 45 ÷ 18 = 2 remainder 9 |
| 4 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 171 | 31122 |
| 115 and 46 | 230 |
| 75 and 41 | 3075 |
| 174 and 53 | 9222 |
| 157 and 136 | 21352 |