Least Common Multiple (LCM) of 76 and 151
The least common multiple (LCM) of 76 and 151 is 11476.
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 151?
First, calculate the GCD of 76 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 151 = 0 remainder 76 |
| 2 | 151 ÷ 76 = 1 remainder 75 |
| 3 | 76 ÷ 75 = 1 remainder 1 |
| 4 | 75 ÷ 1 = 75 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 174 | 174 |
| 116 and 143 | 16588 |
| 143 and 190 | 27170 |
| 124 and 42 | 2604 |
| 108 and 138 | 2484 |