Least Common Multiple (LCM) of 77 and 151
The least common multiple (LCM) of 77 and 151 is 11627.
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 77 and 151?
First, calculate the GCD of 77 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 77 ÷ 151 = 0 remainder 77 |
| 2 | 151 ÷ 77 = 1 remainder 74 |
| 3 | 77 ÷ 74 = 1 remainder 3 |
| 4 | 74 ÷ 3 = 24 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 111 | 11100 |
| 148 and 61 | 9028 |
| 159 and 103 | 16377 |
| 71 and 54 | 3834 |
| 75 and 37 | 2775 |