Least Common Multiple (LCM) of 42 and 154
The least common multiple (LCM) of 42 and 154 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 42 and 154?
First, calculate the GCD of 42 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 42 ÷ 154 = 0 remainder 42 |
| 2 | 154 ÷ 42 = 3 remainder 28 |
| 3 | 42 ÷ 28 = 1 remainder 14 |
| 4 | 28 ÷ 14 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 143 | 7579 |
| 108 and 176 | 4752 |
| 17 and 79 | 1343 |
| 100 and 73 | 7300 |
| 150 and 158 | 11850 |