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 |
|---|---|
| 148 and 152 | 5624 |
| 109 and 197 | 21473 |
| 112 and 186 | 10416 |
| 59 and 119 | 7021 |
| 58 and 20 | 580 |