Least Common Multiple (LCM) of 154 and 41
The least common multiple (LCM) of 154 and 41 is 6314.
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 41?
First, calculate the GCD of 154 and 41 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 41 = 3 remainder 31 |
| 2 | 41 ÷ 31 = 1 remainder 10 |
| 3 | 31 ÷ 10 = 3 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 100 | 7300 |
| 61 and 160 | 9760 |
| 136 and 21 | 2856 |
| 137 and 93 | 12741 |
| 68 and 32 | 544 |