Least Common Multiple (LCM) of 76 and 92
The least common multiple (LCM) of 76 and 92 is 1748.
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 92?
First, calculate the GCD of 76 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 92 = 0 remainder 76 |
| 2 | 92 ÷ 76 = 1 remainder 16 |
| 3 | 76 ÷ 16 = 4 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 88 and 63 | 5544 |
| 100 and 48 | 1200 |
| 129 and 64 | 8256 |
| 152 and 192 | 3648 |
| 101 and 168 | 16968 |