Least Common Multiple (LCM) of 139 and 36
The least common multiple (LCM) of 139 and 36 is 5004.
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 36?
First, calculate the GCD of 139 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 36 = 3 remainder 31 |
| 2 | 36 ÷ 31 = 1 remainder 5 |
| 3 | 31 ÷ 5 = 6 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 115 | 5520 |
| 146 and 133 | 19418 |
| 45 and 76 | 3420 |
| 145 and 162 | 23490 |
| 178 and 70 | 6230 |