Least Common Multiple (LCM) of 157 and 179
The least common multiple (LCM) of 157 and 179 is 28103.
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 179?
First, calculate the GCD of 157 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 179 = 0 remainder 157 |
| 2 | 179 ÷ 157 = 1 remainder 22 |
| 3 | 157 ÷ 22 = 7 remainder 3 |
| 4 | 22 ÷ 3 = 7 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 105 | 945 |
| 17 and 189 | 3213 |
| 129 and 75 | 3225 |
| 186 and 118 | 10974 |
| 118 and 57 | 6726 |