Least Common Multiple (LCM) of 141 and 37
The least common multiple (LCM) of 141 and 37 is 5217.
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 141 and 37?
First, calculate the GCD of 141 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 37 = 3 remainder 30 |
| 2 | 37 ÷ 30 = 1 remainder 7 |
| 3 | 30 ÷ 7 = 4 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 101 | 17978 |
| 12 and 94 | 564 |
| 191 and 106 | 20246 |
| 186 and 33 | 2046 |
| 79 and 50 | 3950 |