Least Common Multiple (LCM) of 78 and 151
The least common multiple (LCM) of 78 and 151 is 11778.
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 151?
First, calculate the GCD of 78 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 78 ÷ 151 = 0 remainder 78 |
| 2 | 151 ÷ 78 = 1 remainder 73 |
| 3 | 78 ÷ 73 = 1 remainder 5 |
| 4 | 73 ÷ 5 = 14 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 58 and 110 | 3190 |
| 109 and 109 | 109 |
| 133 and 190 | 1330 |
| 142 and 119 | 16898 |
| 61 and 121 | 7381 |