Least Common Multiple (LCM) of 42 and 147
The least common multiple (LCM) of 42 and 147 is 294.
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 42 and 147?
First, calculate the GCD of 42 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 147 = 0 remainder 42 |
| 2 | 147 ÷ 42 = 3 remainder 21 |
| 3 | 42 ÷ 21 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 99 | 10791 |
| 114 and 138 | 2622 |
| 51 and 26 | 1326 |
| 127 and 161 | 20447 |
| 125 and 96 | 12000 |