Least Common Multiple (LCM) of 190 and 169
The least common multiple (LCM) of 190 and 169 is 32110.
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 190 and 169?
First, calculate the GCD of 190 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 169 = 1 remainder 21 |
| 2 | 169 ÷ 21 = 8 remainder 1 |
| 3 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 125 | 21750 |
| 141 and 104 | 14664 |
| 21 and 12 | 84 |
| 136 and 27 | 3672 |
| 111 and 145 | 16095 |