Least Common Multiple (LCM) of 141 and 152
The least common multiple (LCM) of 141 and 152 is 21432.
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 152?
First, calculate the GCD of 141 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 152 = 0 remainder 141 |
| 2 | 152 ÷ 141 = 1 remainder 11 |
| 3 | 141 ÷ 11 = 12 remainder 9 |
| 4 | 11 ÷ 9 = 1 remainder 2 |
| 5 | 9 ÷ 2 = 4 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 29 | 1160 |
| 110 and 48 | 2640 |
| 98 and 115 | 11270 |
| 108 and 155 | 16740 |
| 45 and 191 | 8595 |