Least Common Multiple (LCM) of 139 and 153
The least common multiple (LCM) of 139 and 153 is 21267.
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 139 and 153?
First, calculate the GCD of 139 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 153 = 0 remainder 139 |
| 2 | 153 ÷ 139 = 1 remainder 14 |
| 3 | 139 ÷ 14 = 9 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 78 | 390 |
| 95 and 197 | 18715 |
| 154 and 139 | 21406 |
| 110 and 144 | 7920 |
| 141 and 34 | 4794 |