Least Common Multiple (LCM) of 196 and 175
The least common multiple (LCM) of 196 and 175 is 4900.
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 196 and 175?
First, calculate the GCD of 196 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 175 = 1 remainder 21 |
| 2 | 175 ÷ 21 = 8 remainder 7 |
| 3 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 59 | 11328 |
| 23 and 117 | 2691 |
| 151 and 51 | 7701 |
| 105 and 99 | 3465 |
| 64 and 114 | 3648 |