Least Common Multiple (LCM) of 49 and 73
The least common multiple (LCM) of 49 and 73 is 3577.
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 73?
First, calculate the GCD of 49 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 49 ÷ 73 = 0 remainder 49 |
| 2 | 73 ÷ 49 = 1 remainder 24 |
| 3 | 49 ÷ 24 = 2 remainder 1 |
| 4 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 37 and 42 | 1554 |
| 133 and 27 | 3591 |
| 14 and 39 | 546 |
| 152 and 88 | 1672 |
| 18 and 63 | 126 |