Least Common Multiple (LCM) of 151 and 78
The least common multiple (LCM) of 151 and 78 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 151 and 78?
First, calculate the GCD of 151 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 78 = 1 remainder 73 |
| 2 | 78 ÷ 73 = 1 remainder 5 |
| 3 | 73 ÷ 5 = 14 remainder 3 |
| 4 | 5 ÷ 3 = 1 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 192 | 4032 |
| 96 and 144 | 288 |
| 186 and 32 | 2976 |
| 142 and 139 | 19738 |
| 174 and 101 | 17574 |