Least Common Multiple (LCM) of 30 and 147
The least common multiple (LCM) of 30 and 147 is 1470.
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 30 and 147?
First, calculate the GCD of 30 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 30 ÷ 147 = 0 remainder 30 |
| 2 | 147 ÷ 30 = 4 remainder 27 |
| 3 | 30 ÷ 27 = 1 remainder 3 |
| 4 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 65 | 8580 |
| 153 and 166 | 25398 |
| 194 and 121 | 23474 |
| 167 and 182 | 30394 |
| 130 and 167 | 21710 |