Least Common Multiple (LCM) of 37 and 49
The least common multiple (LCM) of 37 and 49 is 1813.
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 37 and 49?
First, calculate the GCD of 37 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 49 = 0 remainder 37 |
| 2 | 49 ÷ 37 = 1 remainder 12 |
| 3 | 37 ÷ 12 = 3 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 196 | 1960 |
| 165 and 133 | 21945 |
| 127 and 96 | 12192 |
| 41 and 38 | 1558 |
| 96 and 91 | 8736 |