Least Common Multiple (LCM) of 147 and 42
The least common multiple (LCM) of 147 and 42 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 147 and 42?
First, calculate the GCD of 147 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 42 = 3 remainder 21 |
| 2 | 42 ÷ 21 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 86 | 15222 |
| 66 and 162 | 1782 |
| 122 and 113 | 13786 |
| 152 and 199 | 30248 |
| 65 and 138 | 8970 |