Least Common Multiple (LCM) of 21 and 147
The least common multiple (LCM) of 21 and 147 is 147.
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 21 and 147?
First, calculate the GCD of 21 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 21 ÷ 147 = 0 remainder 21 |
| 2 | 147 ÷ 21 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 122 | 3294 |
| 155 and 99 | 15345 |
| 148 and 13 | 1924 |
| 81 and 34 | 2754 |
| 180 and 54 | 540 |