Least Common Multiple (LCM) of 113 and 37
The least common multiple (LCM) of 113 and 37 is 4181.
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 113 and 37?
First, calculate the GCD of 113 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 37 = 3 remainder 2 |
| 2 | 37 ÷ 2 = 18 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 147 | 1470 |
| 34 and 23 | 782 |
| 184 and 153 | 28152 |
| 75 and 173 | 12975 |
| 25 and 155 | 775 |