Least Common Multiple (LCM) of 154 and 42
The least common multiple (LCM) of 154 and 42 is 462.
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 154 and 42?
First, calculate the GCD of 154 and 42 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 42 = 3 remainder 28 |
| 2 | 42 ÷ 28 = 1 remainder 14 |
| 3 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 25 | 575 |
| 187 and 141 | 26367 |
| 132 and 97 | 12804 |
| 182 and 103 | 18746 |
| 57 and 178 | 10146 |