Least Common Multiple of 7479 and 7485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7479 and 7485 the smallest integer that is 18660105 that is divisible by both numbers.

Least Common Multiple (LCM) of 7479 and 7485 is 18660105.

LCM(7479,7485) = 18660105

LCM of 7479 and 7485

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7479 and 7485

LCM of 7479 and 7485 is 18660105

Least common multiple can be found by multiplying the highest exponent prime factors of 7479 and 7485. First we will calculate the prime factors of 7479 and 7485.

Prime Factorization of 7479


3 7479
3 2493
3 831
277 277
1

Prime factors of 7479 are 3,277. Prime factorization of 7479 in exponential form is:

7479 = 33×2771

Prime Factorization of 7485


3 7485
5 2495
499 499
1

Prime factors of 7485 are 3, 5,499. Prime factorization of 7485 in exponential form is:

7485 = 31×51×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 7479 and 7485.

LCM(7479,7485) = 33×51×2771×4991
LCM(7479,7485) = 18660105

Factors of 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1, 3, 9, 27, 277, 831, 2493, 7479

Factors of 7485

List of positive integer factors of 7485 that divides 7485 without a remainder.

1, 3, 5, 15, 499, 1497, 2495, 7485

Least Common Multiple of 7479 and 7485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7479 and 7485, than apply into the LCM equation.

GCF(7479,7485) = 3
LCM(7479,7485) = ( 7479 × 7485) / 3
LCM(7479,7485) = 55980315 / 3
LCM(7479,7485) = 18660105

Properties of LCM 7479 and 7485

(i) The LCM of 7485 and 7479 is associative

LCM of 7479 and 7485 = LCM of 7485 and 7479

Related Least Common Multiples of 7479

Related Least Common Multiples of 7485

Frequently Asked Questions on LCM of 7479 and 7485

1. What is the LCM of 7479 and 7485?

Answer: LCM of 7479 and 7485 is 18660105.

2. What are the Factors of 7479?

Answer: Factors of 7479 are 1, 3, 9, 27, 277, 831, 2493, 7479. There are 8 integers that are factors of 7479. The greatest factor of 7479 is 7479.

3. What are the Factors of 7485?

Answer: Factors of 7485 are 1, 3, 5, 15, 499, 1497, 2495, 7485. There are 8 integers that are factors of 7485. The greatest factor of 7485 is 7485.

4. How to Find the LCM of 7479 and 7485?

Answer:

Least Common Multiple of 7479 and 7485 = 18660105

Step 1: Find the prime factorization of 7479

7479 = 3 x 3 x 3 x 277

Step 2: Find the prime factorization of 7485

7485 = 3 x 5 x 499

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 18660105 = 3 x 3 x 3 x 5 x 277 x 499

Step 4: Therefore, the least common multiple of 7479 and 7485 is 18660105.