Least Common Multiple (LCM) of 179 and 59
The least common multiple (LCM) of 179 and 59 is 10561.
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 59?
First, calculate the GCD of 179 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 59 = 3 remainder 2 |
| 2 | 59 ÷ 2 = 29 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 145 | 4495 |
| 90 and 46 | 2070 |
| 37 and 138 | 5106 |
| 115 and 64 | 7360 |
| 14 and 45 | 630 |