Least Common Multiple (LCM) of 60 and 154
The least common multiple (LCM) of 60 and 154 is 4620.
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 60 and 154?
First, calculate the GCD of 60 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 60 ÷ 154 = 0 remainder 60 |
| 2 | 154 ÷ 60 = 2 remainder 34 |
| 3 | 60 ÷ 34 = 1 remainder 26 |
| 4 | 34 ÷ 26 = 1 remainder 8 |
| 5 | 26 ÷ 8 = 3 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 197 | 20685 |
| 42 and 107 | 4494 |
| 163 and 92 | 14996 |
| 181 and 14 | 2534 |
| 198 and 40 | 3960 |