Least Common Multiple (LCM) of 139 and 97
The least common multiple (LCM) of 139 and 97 is 13483.
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 139 and 97?
First, calculate the GCD of 139 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 97 = 1 remainder 42 |
| 2 | 97 ÷ 42 = 2 remainder 13 |
| 3 | 42 ÷ 13 = 3 remainder 3 |
| 4 | 13 ÷ 3 = 4 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 55 | 660 |
| 159 and 141 | 7473 |
| 151 and 131 | 19781 |
| 184 and 45 | 8280 |
| 145 and 64 | 9280 |