Least Common Multiple (LCM) of 74 and 37
The least common multiple (LCM) of 74 and 37 is 74.
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 37?
First, calculate the GCD of 74 and 37 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 37 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 114 | 9348 |
| 182 and 170 | 15470 |
| 85 and 192 | 16320 |
| 54 and 199 | 10746 |
| 130 and 140 | 1820 |