Least Common Multiple (LCM) of 179 and 42
The least common multiple (LCM) of 179 and 42 is 7518.
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 179 and 42?
First, calculate the GCD of 179 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 42 = 4 remainder 11 |
| 2 | 42 ÷ 11 = 3 remainder 9 |
| 3 | 11 ÷ 9 = 1 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 148 | 4440 |
| 114 and 192 | 3648 |
| 161 and 196 | 4508 |
| 110 and 45 | 990 |
| 98 and 136 | 6664 |