Least Common Multiple (LCM) of 180 and 62
The least common multiple (LCM) of 180 and 62 is 5580.
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 180 and 62?
First, calculate the GCD of 180 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 62 = 2 remainder 56 |
| 2 | 62 ÷ 56 = 1 remainder 6 |
| 3 | 56 ÷ 6 = 9 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 20 | 740 |
| 123 and 59 | 7257 |
| 109 and 78 | 8502 |
| 45 and 37 | 1665 |
| 30 and 47 | 1410 |