Least Common Multiple (LCM) of 139 and 72
The least common multiple (LCM) of 139 and 72 is 10008.
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 72?
First, calculate the GCD of 139 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 72 = 1 remainder 67 |
| 2 | 72 ÷ 67 = 1 remainder 5 |
| 3 | 67 ÷ 5 = 13 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 112 | 18480 |
| 80 and 65 | 1040 |
| 110 and 46 | 2530 |
| 46 and 26 | 598 |
| 61 and 177 | 10797 |