Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4435 and 4443 the smallest integer that is 19704705 that is divisible by both numbers.
Least Common Multiple (LCM) of 4435 and 4443 is 19704705.
LCM(4435,4443) = 19704705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4435 and 4443. First we will calculate the prime factors of 4435 and 4443.
Prime Factorization of 4435
5 | 4435 |
887 | 887 |
1 |
Prime factors of 4435 are 5,887. Prime factorization of 4435 in exponential form is:
4435 = 51×8871
Prime Factorization of 4443
3 | 4443 |
1481 | 1481 |
1 |
Prime factors of 4443 are 3,1481. Prime factorization of 4443 in exponential form is:
4443 = 31×14811
Now multiplying the highest exponent prime factors to calculate the LCM of 4435 and 4443.
LCM(4435,4443) = 31×51×8871×14811
LCM(4435,4443) = 19704705
Factors of 4435
List of positive integer factors of 4435 that divides 4435 without a remainder.
1, 5, 887, 4435
Factors of 4443
List of positive integer factors of 4443 that divides 4443 without a remainder.
1, 3, 1481, 4443
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4435 and 4443, than apply into the LCM equation.
GCF(4435,4443) = 1
LCM(4435,4443) = ( 4435 × 4443) / 1
LCM(4435,4443) = 19704705 / 1
LCM(4435,4443) = 19704705
(i) The LCM of 4443 and 4435 is associative
LCM of 4435 and 4443 = LCM of 4443 and 4435
1. What is the LCM of 4435 and 4443?
Answer: LCM of 4435 and 4443 is 19704705.
2. What are the Factors of 4435?
Answer: Factors of 4435 are 1, 5, 887, 4435. There are 4 integers that are factors of 4435. The greatest factor of 4435 is 4435.
3. What are the Factors of 4443?
Answer: Factors of 4443 are 1, 3, 1481, 4443. There are 4 integers that are factors of 4443. The greatest factor of 4443 is 4443.
4. How to Find the LCM of 4435 and 4443?
Answer:
Least Common Multiple of 4435 and 4443 = 19704705
Step 1: Find the prime factorization of 4435
4435 = 5 x 887
Step 2: Find the prime factorization of 4443
4443 = 3 x 1481
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19704705 = 3 x 5 x 887 x 1481
Step 4: Therefore, the least common multiple of 4435 and 4443 is 19704705.