Least Common Multiple (LCM) of 141 and 76
The least common multiple (LCM) of 141 and 76 is 10716.
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 76?
First, calculate the GCD of 141 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 76 = 1 remainder 65 |
| 2 | 76 ÷ 65 = 1 remainder 11 |
| 3 | 65 ÷ 11 = 5 remainder 10 |
| 4 | 11 ÷ 10 = 1 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 187 | 20757 |
| 41 and 98 | 4018 |
| 139 and 70 | 9730 |
| 107 and 114 | 12198 |
| 148 and 128 | 4736 |