Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7596 and 7604 the smallest integer that is 14439996 that is divisible by both numbers.
Least Common Multiple (LCM) of 7596 and 7604 is 14439996.
LCM(7596,7604) = 14439996
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 7596 and 7604. First we will calculate the prime factors of 7596 and 7604.
Prime Factorization of 7596
2 | 7596 |
2 | 3798 |
3 | 1899 |
3 | 633 |
211 | 211 |
1 |
Prime factors of 7596 are 2, 3,211. Prime factorization of 7596 in exponential form is:
7596 = 22×32×2111
Prime Factorization of 7604
2 | 7604 |
2 | 3802 |
1901 | 1901 |
1 |
Prime factors of 7604 are 2,1901. Prime factorization of 7604 in exponential form is:
7604 = 22×19011
Now multiplying the highest exponent prime factors to calculate the LCM of 7596 and 7604.
LCM(7596,7604) = 22×32×2111×19011
LCM(7596,7604) = 14439996
Factors of 7596
List of positive integer factors of 7596 that divides 7596 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596
Factors of 7604
List of positive integer factors of 7604 that divides 7604 without a remainder.
1, 2, 4, 1901, 3802, 7604
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7596 and 7604, than apply into the LCM equation.
GCF(7596,7604) = 4
LCM(7596,7604) = ( 7596 × 7604) / 4
LCM(7596,7604) = 57759984 / 4
LCM(7596,7604) = 14439996
(i) The LCM of 7604 and 7596 is associative
LCM of 7596 and 7604 = LCM of 7604 and 7596
1. What is the LCM of 7596 and 7604?
Answer: LCM of 7596 and 7604 is 14439996.
2. What are the Factors of 7596?
Answer: Factors of 7596 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596. There are 18 integers that are factors of 7596. The greatest factor of 7596 is 7596.
3. What are the Factors of 7604?
Answer: Factors of 7604 are 1, 2, 4, 1901, 3802, 7604. There are 6 integers that are factors of 7604. The greatest factor of 7604 is 7604.
4. How to Find the LCM of 7596 and 7604?
Answer:
Least Common Multiple of 7596 and 7604 = 14439996
Step 1: Find the prime factorization of 7596
7596 = 2 x 2 x 3 x 3 x 211
Step 2: Find the prime factorization of 7604
7604 = 2 x 2 x 1901
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14439996 = 2 x 2 x 3 x 3 x 211 x 1901
Step 4: Therefore, the least common multiple of 7596 and 7604 is 14439996.