Least Common Multiple (LCM) of 74 and 152
The least common multiple (LCM) of 74 and 152 is 5624.
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 74 and 152?
First, calculate the GCD of 74 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 152 = 0 remainder 74 |
| 2 | 152 ÷ 74 = 2 remainder 4 |
| 3 | 74 ÷ 4 = 18 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 165 | 330 |
| 180 and 23 | 4140 |
| 157 and 142 | 22294 |
| 57 and 89 | 5073 |
| 123 and 61 | 7503 |