Least Common Multiple (LCM) of 21 and 21
The least common multiple (LCM) of 21 and 21 is 21.
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 21?
First, calculate the GCD of 21 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 21 ÷ 21 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 117 | 12870 |
| 150 and 95 | 2850 |
| 197 and 153 | 30141 |
| 131 and 110 | 14410 |
| 85 and 160 | 2720 |