Least Common Multiple (LCM) of 197 and 179
The least common multiple (LCM) of 197 and 179 is 35263.
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 197 and 179?
First, calculate the GCD of 197 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 179 = 1 remainder 18 |
| 2 | 179 ÷ 18 = 9 remainder 17 |
| 3 | 18 ÷ 17 = 1 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 30 | 3030 |
| 145 and 184 | 26680 |
| 114 and 105 | 3990 |
| 128 and 166 | 10624 |
| 70 and 119 | 1190 |