Least Common Multiple (LCM) of 142 and 153
The least common multiple (LCM) of 142 and 153 is 21726.
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 153?
First, calculate the GCD of 142 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 153 = 0 remainder 142 |
| 2 | 153 ÷ 142 = 1 remainder 11 |
| 3 | 142 ÷ 11 = 12 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 193 | 31845 |
| 107 and 14 | 1498 |
| 187 and 54 | 10098 |
| 47 and 122 | 5734 |
| 29 and 60 | 1740 |