Least Common Multiple (LCM) of 37 and 139
The least common multiple (LCM) of 37 and 139 is 5143.
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 139?
First, calculate the GCD of 37 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 37 ÷ 139 = 0 remainder 37 |
| 2 | 139 ÷ 37 = 3 remainder 28 |
| 3 | 37 ÷ 28 = 1 remainder 9 |
| 4 | 28 ÷ 9 = 3 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 130 | 4290 |
| 42 and 195 | 2730 |
| 128 and 112 | 896 |
| 11 and 182 | 2002 |
| 21 and 185 | 3885 |