Least Common Multiple (LCM) of 97 and 139
The least common multiple (LCM) of 97 and 139 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 97 and 139?
First, calculate the GCD of 97 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 139 = 0 remainder 97 |
| 2 | 139 ÷ 97 = 1 remainder 42 |
| 3 | 97 ÷ 42 = 2 remainder 13 |
| 4 | 42 ÷ 13 = 3 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 183 | 23973 |
| 140 and 72 | 2520 |
| 59 and 118 | 118 |
| 175 and 173 | 30275 |
| 121 and 109 | 13189 |