Least Common Multiple (LCM) of 73 and 139
The least common multiple (LCM) of 73 and 139 is 10147.
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 73 and 139?
First, calculate the GCD of 73 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 139 = 0 remainder 73 |
| 2 | 139 ÷ 73 = 1 remainder 66 |
| 3 | 73 ÷ 66 = 1 remainder 7 |
| 4 | 66 ÷ 7 = 9 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 162 | 8910 |
| 172 and 52 | 2236 |
| 115 and 103 | 11845 |
| 67 and 63 | 4221 |
| 23 and 39 | 897 |