Least Common Multiple (LCM) of 152 and 179
The least common multiple (LCM) of 152 and 179 is 27208.
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 179?
First, calculate the GCD of 152 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 179 = 0 remainder 152 |
| 2 | 179 ÷ 152 = 1 remainder 27 |
| 3 | 152 ÷ 27 = 5 remainder 17 |
| 4 | 27 ÷ 17 = 1 remainder 10 |
| 5 | 17 ÷ 10 = 1 remainder 7 |
| 6 | 10 ÷ 7 = 1 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 46 and 74 | 1702 |
| 94 and 165 | 15510 |
| 172 and 51 | 8772 |
| 60 and 115 | 1380 |
| 118 and 183 | 21594 |