Least Common Multiple (LCM) of 147 and 188
The least common multiple (LCM) of 147 and 188 is 27636.
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 147 and 188?
First, calculate the GCD of 147 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 188 = 0 remainder 147 |
| 2 | 188 ÷ 147 = 1 remainder 41 |
| 3 | 147 ÷ 41 = 3 remainder 24 |
| 4 | 41 ÷ 24 = 1 remainder 17 |
| 5 | 24 ÷ 17 = 1 remainder 7 |
| 6 | 17 ÷ 7 = 2 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 10 | 1690 |
| 23 and 90 | 2070 |
| 20 and 109 | 2180 |
| 107 and 90 | 9630 |
| 88 and 48 | 528 |