Least Common Multiple (LCM) of 157 and 73
The least common multiple (LCM) of 157 and 73 is 11461.
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 73?
First, calculate the GCD of 157 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 73 = 2 remainder 11 |
| 2 | 73 ÷ 11 = 6 remainder 7 |
| 3 | 11 ÷ 7 = 1 remainder 4 |
| 4 | 7 ÷ 4 = 1 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 126 | 11088 |
| 139 and 73 | 10147 |
| 125 and 80 | 2000 |
| 76 and 159 | 12084 |
| 158 and 46 | 3634 |