Least Common Multiple (LCM) of 20 and 76
The least common multiple (LCM) of 20 and 76 is 380.
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 20 and 76?
First, calculate the GCD of 20 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 20 ÷ 76 = 0 remainder 20 |
| 2 | 76 ÷ 20 = 3 remainder 16 |
| 3 | 20 ÷ 16 = 1 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 61 | 9943 |
| 20 and 34 | 340 |
| 50 and 17 | 850 |
| 110 and 20 | 220 |
| 151 and 94 | 14194 |