Least Common Multiple (LCM) of 154 and 60
The least common multiple (LCM) of 154 and 60 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 154 and 60?
First, calculate the GCD of 154 and 60 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 60 = 2 remainder 34 |
| 2 | 60 ÷ 34 = 1 remainder 26 |
| 3 | 34 ÷ 26 = 1 remainder 8 |
| 4 | 26 ÷ 8 = 3 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 63 | 3654 |
| 109 and 160 | 17440 |
| 44 and 99 | 396 |
| 126 and 94 | 5922 |
| 19 and 10 | 190 |