Least Common Multiple (LCM) of 147 and 153
The least common multiple (LCM) of 147 and 153 is 7497.
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 153?
First, calculate the GCD of 147 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 153 = 0 remainder 147 |
| 2 | 153 ÷ 147 = 1 remainder 6 |
| 3 | 147 ÷ 6 = 24 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 89 | 178 |
| 97 and 12 | 1164 |
| 182 and 19 | 3458 |
| 19 and 145 | 2755 |
| 141 and 126 | 5922 |