Least Common Multiple (LCM) of 147 and 174
The least common multiple (LCM) of 147 and 174 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 147 and 174?
First, calculate the GCD of 147 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 174 = 0 remainder 147 |
| 2 | 174 ÷ 147 = 1 remainder 27 |
| 3 | 147 ÷ 27 = 5 remainder 12 |
| 4 | 27 ÷ 12 = 2 remainder 3 |
| 5 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 150 | 22650 |
| 65 and 37 | 2405 |
| 85 and 46 | 3910 |
| 94 and 136 | 6392 |
| 125 and 126 | 15750 |