Least Common Multiple (LCM) of 37 and 110
The least common multiple (LCM) of 37 and 110 is 4070.
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 110?
First, calculate the GCD of 37 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 110 = 0 remainder 37 |
| 2 | 110 ÷ 37 = 2 remainder 36 |
| 3 | 37 ÷ 36 = 1 remainder 1 |
| 4 | 36 ÷ 1 = 36 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 17 | 1989 |
| 108 and 21 | 756 |
| 121 and 159 | 19239 |
| 173 and 189 | 32697 |
| 99 and 145 | 14355 |