
Least Common Multiple (LCM) of 44 and 52
The least common multiple (LCM) of 44 and 52 is 572.
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 44 and 52?
First, calculate the GCD of 44 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 44 ÷ 52 = 0 remainder 44 |
2 | 52 ÷ 44 = 1 remainder 8 |
3 | 44 ÷ 8 = 5 remainder 4 |
4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
138 and 182 | 12558 |
170 and 188 | 15980 |
151 and 17 | 2567 |
74 and 119 | 8806 |
74 and 144 | 5328 |