Least Common Multiple (LCM) of 142 and 155
The least common multiple (LCM) of 142 and 155 is 22010.
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 155?
First, calculate the GCD of 142 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 155 = 0 remainder 142 |
| 2 | 155 ÷ 142 = 1 remainder 13 |
| 3 | 142 ÷ 13 = 10 remainder 12 |
| 4 | 13 ÷ 12 = 1 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 53 | 7314 |
| 138 and 14 | 966 |
| 131 and 138 | 18078 |
| 128 and 74 | 4736 |
| 113 and 93 | 10509 |