Least Common Multiple (LCM) of 174 and 147
The least common multiple (LCM) of 174 and 147 is 8526.
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 147?
First, calculate the GCD of 174 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 147 = 1 remainder 27 |
| 2 | 147 ÷ 27 = 5 remainder 12 |
| 3 | 27 ÷ 12 = 2 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 145 | 14355 |
| 30 and 175 | 1050 |
| 200 and 23 | 4600 |
| 138 and 145 | 20010 |
| 140 and 134 | 9380 |