Least Common Multiple (LCM) of 160 and 42
The least common multiple (LCM) of 160 and 42 is 3360.
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 160 and 42?
First, calculate the GCD of 160 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 42 = 3 remainder 34 |
| 2 | 42 ÷ 34 = 1 remainder 8 |
| 3 | 34 ÷ 8 = 4 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 138 | 1518 |
| 103 and 84 | 8652 |
| 172 and 51 | 8772 |
| 154 and 11 | 154 |
| 113 and 63 | 7119 |