Least Common Multiple (LCM) of 142 and 21
The least common multiple (LCM) of 142 and 21 is 2982.
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 142 and 21?
First, calculate the GCD of 142 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 21 = 6 remainder 16 |
| 2 | 21 ÷ 16 = 1 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 160 | 5280 |
| 184 and 34 | 3128 |
| 48 and 156 | 624 |
| 65 and 187 | 12155 |
| 87 and 198 | 5742 |