Least Common Multiple (LCM) of 153 and 179
The least common multiple (LCM) of 153 and 179 is 27387.
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 153 and 179?
First, calculate the GCD of 153 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 179 = 0 remainder 153 |
| 2 | 179 ÷ 153 = 1 remainder 26 |
| 3 | 153 ÷ 26 = 5 remainder 23 |
| 4 | 26 ÷ 23 = 1 remainder 3 |
| 5 | 23 ÷ 3 = 7 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 14 | 154 |
| 184 and 144 | 3312 |
| 193 and 84 | 16212 |
| 198 and 148 | 14652 |
| 120 and 132 | 1320 |