Least Common Multiple (LCM) of 139 and 90
The least common multiple (LCM) of 139 and 90 is 12510.
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 90?
First, calculate the GCD of 139 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 90 = 1 remainder 49 |
| 2 | 90 ÷ 49 = 1 remainder 41 |
| 3 | 49 ÷ 41 = 1 remainder 8 |
| 4 | 41 ÷ 8 = 5 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 77 and 55 | 385 |
| 120 and 47 | 5640 |
| 87 and 27 | 783 |
| 151 and 108 | 16308 |
| 182 and 45 | 8190 |