Least Common Multiple (LCM) of 142 and 152
The least common multiple (LCM) of 142 and 152 is 10792.
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 152?
First, calculate the GCD of 142 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 152 = 0 remainder 142 |
| 2 | 152 ÷ 142 = 1 remainder 10 |
| 3 | 142 ÷ 10 = 14 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 29 | 3712 |
| 143 and 143 | 143 |
| 146 and 65 | 9490 |
| 93 and 121 | 11253 |
| 73 and 102 | 7446 |