Least Common Multiple (LCM) of 147 and 175
The least common multiple (LCM) of 147 and 175 is 3675.
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 175?
First, calculate the GCD of 147 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 175 = 0 remainder 147 |
| 2 | 175 ÷ 147 = 1 remainder 28 |
| 3 | 147 ÷ 28 = 5 remainder 7 |
| 4 | 28 ÷ 7 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 120 | 15720 |
| 188 and 50 | 4700 |
| 56 and 148 | 2072 |
| 21 and 101 | 2121 |
| 45 and 114 | 1710 |