Least Common Multiple (LCM) of 153 and 190
The least common multiple (LCM) of 153 and 190 is 29070.
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 153 and 190?
First, calculate the GCD of 153 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 190 = 0 remainder 153 |
| 2 | 190 ÷ 153 = 1 remainder 37 |
| 3 | 153 ÷ 37 = 4 remainder 5 |
| 4 | 37 ÷ 5 = 7 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 162 | 5022 |
| 107 and 12 | 1284 |
| 163 and 170 | 27710 |
| 136 and 19 | 2584 |
| 192 and 27 | 1728 |