Least Common Multiple (LCM) of 142 and 66
The least common multiple (LCM) of 142 and 66 is 4686.
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 66?
First, calculate the GCD of 142 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 66 = 2 remainder 10 |
| 2 | 66 ÷ 10 = 6 remainder 6 |
| 3 | 10 ÷ 6 = 1 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 40 | 3720 |
| 120 and 88 | 1320 |
| 107 and 145 | 15515 |
| 24 and 124 | 744 |
| 100 and 167 | 16700 |