Least Common Multiple (LCM) of 141 and 63
The least common multiple (LCM) of 141 and 63 is 2961.
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 63?
First, calculate the GCD of 141 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 63 = 2 remainder 15 |
| 2 | 63 ÷ 15 = 4 remainder 3 |
| 3 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 111 | 11211 |
| 135 and 150 | 1350 |
| 96 and 190 | 9120 |
| 48 and 71 | 3408 |
| 49 and 140 | 980 |