Least Common Multiple (LCM) of 142 and 187
The least common multiple (LCM) of 142 and 187 is 26554.
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 187?
First, calculate the GCD of 142 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 187 = 0 remainder 142 |
| 2 | 187 ÷ 142 = 1 remainder 45 |
| 3 | 142 ÷ 45 = 3 remainder 7 |
| 4 | 45 ÷ 7 = 6 remainder 3 |
| 5 | 7 ÷ 3 = 2 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 87 | 15225 |
| 134 and 160 | 10720 |
| 23 and 170 | 3910 |
| 68 and 40 | 680 |
| 42 and 128 | 2688 |