Least Common Multiple (LCM) of 152 and 139
The least common multiple (LCM) of 152 and 139 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 152 and 139?
First, calculate the GCD of 152 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 139 = 1 remainder 13 |
| 2 | 139 ÷ 13 = 10 remainder 9 |
| 3 | 13 ÷ 9 = 1 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 40 | 40 |
| 81 and 170 | 13770 |
| 77 and 81 | 6237 |
| 111 and 27 | 999 |
| 75 and 156 | 3900 |