Least Common Multiple (LCM) of 141 and 42
The least common multiple (LCM) of 141 and 42 is 1974.
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 141 and 42?
First, calculate the GCD of 141 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 42 = 3 remainder 15 |
| 2 | 42 ÷ 15 = 2 remainder 12 |
| 3 | 15 ÷ 12 = 1 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 58 | 1334 |
| 164 and 122 | 10004 |
| 109 and 173 | 18857 |
| 41 and 161 | 6601 |
| 103 and 170 | 17510 |