Least Common Multiple (LCM) of 74 and 99
The least common multiple (LCM) of 74 and 99 is 7326.
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 74 and 99?
First, calculate the GCD of 74 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 99 = 0 remainder 74 |
| 2 | 99 ÷ 74 = 1 remainder 25 |
| 3 | 74 ÷ 25 = 2 remainder 24 |
| 4 | 25 ÷ 24 = 1 remainder 1 |
| 5 | 24 ÷ 1 = 24 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 190 | 20710 |
| 115 and 197 | 22655 |
| 39 and 141 | 1833 |
| 87 and 108 | 3132 |
| 63 and 66 | 1386 |