Least Common Multiple (LCM) of 37 and 149
The least common multiple (LCM) of 37 and 149 is 5513.
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 149?
First, calculate the GCD of 37 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 149 = 0 remainder 37 |
| 2 | 149 ÷ 37 = 4 remainder 1 |
| 3 | 37 ÷ 1 = 37 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 157 | 22608 |
| 83 and 92 | 7636 |
| 75 and 191 | 14325 |
| 96 and 153 | 4896 |
| 82 and 112 | 4592 |