Least Common Multiple (LCM) of 157 and 47
The least common multiple (LCM) of 157 and 47 is 7379.
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 157 and 47?
First, calculate the GCD of 157 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 47 = 3 remainder 16 |
| 2 | 47 ÷ 16 = 2 remainder 15 |
| 3 | 16 ÷ 15 = 1 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 60 | 4020 |
| 126 and 114 | 2394 |
| 108 and 84 | 756 |
| 196 and 77 | 2156 |
| 160 and 111 | 17760 |