Least Common Multiple (LCM) of 74 and 36
The least common multiple (LCM) of 74 and 36 is 1332.
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 36?
First, calculate the GCD of 74 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 36 = 2 remainder 2 |
| 2 | 36 ÷ 2 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 36 | 6516 |
| 160 and 36 | 1440 |
| 198 and 78 | 2574 |
| 36 and 30 | 180 |
| 161 and 111 | 17871 |