Least Common Multiple (LCM) of 141 and 120
The least common multiple (LCM) of 141 and 120 is 5640.
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 120?
First, calculate the GCD of 141 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 120 = 1 remainder 21 |
| 2 | 120 ÷ 21 = 5 remainder 15 |
| 3 | 21 ÷ 15 = 1 remainder 6 |
| 4 | 15 ÷ 6 = 2 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 114 | 3990 |
| 90 and 118 | 5310 |
| 159 and 74 | 11766 |
| 107 and 161 | 17227 |
| 170 and 27 | 4590 |