Least Common Multiple (LCM) of 179 and 120
The least common multiple (LCM) of 179 and 120 is 21480.
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 120?
First, calculate the GCD of 179 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 120 = 1 remainder 59 |
| 2 | 120 ÷ 59 = 2 remainder 2 |
| 3 | 59 ÷ 2 = 29 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 108 | 3132 |
| 151 and 93 | 14043 |
| 33 and 140 | 4620 |
| 114 and 58 | 3306 |
| 120 and 74 | 4440 |