Least Common Multiple (LCM) of 139 and 152
The least common multiple (LCM) of 139 and 152 is 21128.
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 152?
First, calculate the GCD of 139 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 152 = 0 remainder 139 |
| 2 | 152 ÷ 139 = 1 remainder 13 |
| 3 | 139 ÷ 13 = 10 remainder 9 |
| 4 | 13 ÷ 9 = 1 remainder 4 |
| 5 | 9 ÷ 4 = 2 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 115 | 12880 |
| 65 and 73 | 4745 |
| 50 and 51 | 2550 |
| 60 and 161 | 9660 |
| 120 and 156 | 1560 |