Least Common Multiple (LCM) of 154 and 74
The least common multiple (LCM) of 154 and 74 is 5698.
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 74?
First, calculate the GCD of 154 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 74 = 2 remainder 6 |
| 2 | 74 ÷ 6 = 12 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 47 | 5123 |
| 112 and 56 | 112 |
| 111 and 114 | 4218 |
| 59 and 165 | 9735 |
| 155 and 68 | 10540 |