Least Common Multiple (LCM) of 147 and 149
The least common multiple (LCM) of 147 and 149 is 21903.
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 149?
First, calculate the GCD of 147 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 149 = 0 remainder 147 |
| 2 | 149 ÷ 147 = 1 remainder 2 |
| 3 | 147 ÷ 2 = 73 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 67 | 9380 |
| 176 and 64 | 704 |
| 197 and 71 | 13987 |
| 154 and 143 | 2002 |
| 167 and 185 | 30895 |