Least Common Multiple (LCM) of 147 and 76
The least common multiple (LCM) of 147 and 76 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 147 and 76?
First, calculate the GCD of 147 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 76 = 1 remainder 71 |
| 2 | 76 ÷ 71 = 1 remainder 5 |
| 3 | 71 ÷ 5 = 14 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 106 | 12190 |
| 176 and 128 | 1408 |
| 37 and 53 | 1961 |
| 72 and 74 | 2664 |
| 191 and 126 | 24066 |