Least Common Multiple (LCM) of 37 and 62
The least common multiple (LCM) of 37 and 62 is 2294.
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 62?
First, calculate the GCD of 37 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 62 = 0 remainder 37 |
| 2 | 62 ÷ 37 = 1 remainder 25 |
| 3 | 37 ÷ 25 = 1 remainder 12 |
| 4 | 25 ÷ 12 = 2 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 38 | 2394 |
| 98 and 147 | 294 |
| 99 and 176 | 1584 |
| 188 and 123 | 23124 |
| 140 and 48 | 1680 |