Least Common Multiple (LCM) of 174 and 99
The least common multiple (LCM) of 174 and 99 is 5742.
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 174 and 99?
First, calculate the GCD of 174 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 99 = 1 remainder 75 |
| 2 | 99 ÷ 75 = 1 remainder 24 |
| 3 | 75 ÷ 24 = 3 remainder 3 |
| 4 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 122 | 11224 |
| 87 and 136 | 11832 |
| 174 and 165 | 9570 |
| 129 and 52 | 6708 |
| 48 and 40 | 240 |