Least Common Multiple (LCM) of 78 and 76
The least common multiple (LCM) of 78 and 76 is 2964.
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 78 and 76?
First, calculate the GCD of 78 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 76 = 1 remainder 2 |
| 2 | 76 ÷ 2 = 38 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 135 | 18360 |
| 190 and 149 | 28310 |
| 120 and 170 | 2040 |
| 112 and 190 | 10640 |
| 166 and 174 | 14442 |