Least Common Multiple (LCM) of 76 and 147
The least common multiple (LCM) of 76 and 147 is 11172.
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 76 and 147?
First, calculate the GCD of 76 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 147 = 0 remainder 76 |
| 2 | 147 ÷ 76 = 1 remainder 71 |
| 3 | 76 ÷ 71 = 1 remainder 5 |
| 4 | 71 ÷ 5 = 14 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 57 | 7296 |
| 171 and 64 | 10944 |
| 10 and 81 | 810 |
| 126 and 141 | 5922 |
| 167 and 118 | 19706 |