Least Common Multiple (LCM) of 49 and 59
The least common multiple (LCM) of 49 and 59 is 2891.
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 49 and 59?
First, calculate the GCD of 49 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 59 = 0 remainder 49 |
| 2 | 59 ÷ 49 = 1 remainder 10 |
| 3 | 49 ÷ 10 = 4 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 65 and 123 | 7995 |
| 55 and 102 | 5610 |
| 116 and 52 | 1508 |
| 91 and 90 | 8190 |
| 34 and 184 | 3128 |