Least Common Multiple (LCM) of 62 and 179
The least common multiple (LCM) of 62 and 179 is 11098.
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 62 and 179?
First, calculate the GCD of 62 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 179 = 0 remainder 62 |
| 2 | 179 ÷ 62 = 2 remainder 55 |
| 3 | 62 ÷ 55 = 1 remainder 7 |
| 4 | 55 ÷ 7 = 7 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 27 | 4401 |
| 171 and 128 | 21888 |
| 115 and 50 | 1150 |
| 16 and 26 | 208 |
| 66 and 179 | 11814 |