Least Common Multiple (LCM) of 49 and 62
The least common multiple (LCM) of 49 and 62 is 3038.
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 62?
First, calculate the GCD of 49 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 62 = 0 remainder 49 |
| 2 | 62 ÷ 49 = 1 remainder 13 |
| 3 | 49 ÷ 13 = 3 remainder 10 |
| 4 | 13 ÷ 10 = 1 remainder 3 |
| 5 | 10 ÷ 3 = 3 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 112 | 1456 |
| 176 and 147 | 25872 |
| 108 and 93 | 3348 |
| 118 and 147 | 17346 |
| 112 and 56 | 112 |