Least Common Multiple (LCM) of 153 and 140
The least common multiple (LCM) of 153 and 140 is 21420.
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 140?
First, calculate the GCD of 153 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 140 = 1 remainder 13 |
| 2 | 140 ÷ 13 = 10 remainder 10 |
| 3 | 13 ÷ 10 = 1 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 81 | 5751 |
| 115 and 79 | 9085 |
| 186 and 54 | 1674 |
| 86 and 191 | 16426 |
| 38 and 144 | 2736 |