Least Common Multiple (LCM) of 141 and 164
The least common multiple (LCM) of 141 and 164 is 23124.
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 164?
First, calculate the GCD of 141 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 164 = 0 remainder 141 |
| 2 | 164 ÷ 141 = 1 remainder 23 |
| 3 | 141 ÷ 23 = 6 remainder 3 |
| 4 | 23 ÷ 3 = 7 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 111 | 4995 |
| 95 and 138 | 13110 |
| 57 and 51 | 969 |
| 120 and 199 | 23880 |
| 184 and 20 | 920 |