
Least Common Multiple (LCM) of 74 and 90
The least common multiple (LCM) of 74 and 90 is 3330.
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 90?
First, calculate the GCD of 74 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 74 ÷ 90 = 0 remainder 74 |
2 | 90 ÷ 74 = 1 remainder 16 |
3 | 74 ÷ 16 = 4 remainder 10 |
4 | 16 ÷ 10 = 1 remainder 6 |
5 | 10 ÷ 6 = 1 remainder 4 |
6 | 6 ÷ 4 = 1 remainder 2 |
7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
162 and 69 | 3726 |
41 and 128 | 5248 |
140 and 75 | 2100 |
186 and 27 | 1674 |
142 and 73 | 10366 |