Least Common Multiple of 7485 and 7493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7485 and 7493 the smallest integer that is 56085105 that is divisible by both numbers.

Least Common Multiple (LCM) of 7485 and 7493 is 56085105.

LCM(7485,7493) = 56085105

LCM of 7485 and 7493

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

LCM of:
and

Least Common Multiple of 7485 and 7493

LCM of 7485 and 7493 is 56085105

Least common multiple can be found by multiplying the highest exponent prime factors of 7485 and 7493. First we will calculate the prime factors of 7485 and 7493.

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

Prime Factorization of 7493


59 7493
127 127
1

Prime factors of 7493 are 59,127. Prime factorization of 7493 in exponential form is:

7493 = 591×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 7485 and 7493.

LCM(7485,7493) = 31×51×591×1271×4991
LCM(7485,7493) = 56085105

Factors of 7485

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

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

Factors of 7493

List of positive integer factors of 7493 that divides 7493 without a remainder.

1, 59, 127, 7493

Least Common Multiple of 7485 and 7493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7485 and 7493, than apply into the LCM equation.

GCF(7485,7493) = 1
LCM(7485,7493) = ( 7485 × 7493) / 1
LCM(7485,7493) = 56085105 / 1
LCM(7485,7493) = 56085105

Properties of LCM 7485 and 7493

(i) The LCM of 7493 and 7485 is associative

LCM of 7485 and 7493 = LCM of 7493 and 7485

Related Least Common Multiples of 7485

Related Least Common Multiples of 7493

Frequently Asked Questions on LCM of 7485 and 7493

1. What is the LCM of 7485 and 7493?

Answer: LCM of 7485 and 7493 is 56085105.

2. 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.

3. What are the Factors of 7493?

Answer: Factors of 7493 are 1, 59, 127, 7493. There are 4 integers that are factors of 7493. The greatest factor of 7493 is 7493.

4. How to Find the LCM of 7485 and 7493?

Answer:

Least Common Multiple of 7485 and 7493 = 56085105

Step 1: Find the prime factorization of 7485

7485 = 3 x 5 x 499

Step 2: Find the prime factorization of 7493

7493 = 59 x 127

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

LCM = 56085105 = 3 x 5 x 59 x 127 x 499

Step 4: Therefore, the least common multiple of 7485 and 7493 is 56085105.