Least Common Multiple (LCM) of 72 and 58
The least common multiple (LCM) of 72 and 58 is 2088.
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 72 and 58?
First, calculate the GCD of 72 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 58 = 1 remainder 14 |
| 2 | 58 ÷ 14 = 4 remainder 2 |
| 3 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 192 | 10560 |
| 60 and 154 | 4620 |
| 188 and 176 | 8272 |
| 199 and 13 | 2587 |
| 26 and 46 | 598 |