Least Common Multiple of 8749 and 8754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8749 and 8754 the smallest integer that is 76588746 that is divisible by both numbers.

Least Common Multiple (LCM) of 8749 and 8754 is 76588746.

LCM(8749,8754) = 76588746

LCM of 8749 and 8754

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

LCM of:
and

Least Common Multiple of 8749 and 8754

LCM of 8749 and 8754 is 76588746

Least common multiple can be found by multiplying the highest exponent prime factors of 8749 and 8754. First we will calculate the prime factors of 8749 and 8754.

Prime Factorization of 8749


13 8749
673 673
1

Prime factors of 8749 are 13,673. Prime factorization of 8749 in exponential form is:

8749 = 131×6731

Prime Factorization of 8754


2 8754
3 4377
1459 1459
1

Prime factors of 8754 are 2, 3,1459. Prime factorization of 8754 in exponential form is:

8754 = 21×31×14591

Now multiplying the highest exponent prime factors to calculate the LCM of 8749 and 8754.

LCM(8749,8754) = 21×31×131×6731×14591
LCM(8749,8754) = 76588746

Factors of 8749

List of positive integer factors of 8749 that divides 8749 without a remainder.

1, 13, 673, 8749

Factors of 8754

List of positive integer factors of 8754 that divides 8754 without a remainder.

1, 2, 3, 6, 1459, 2918, 4377, 8754

Least Common Multiple of 8749 and 8754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8749 and 8754, than apply into the LCM equation.

GCF(8749,8754) = 1
LCM(8749,8754) = ( 8749 × 8754) / 1
LCM(8749,8754) = 76588746 / 1
LCM(8749,8754) = 76588746

Properties of LCM 8749 and 8754

(i) The LCM of 8754 and 8749 is associative

LCM of 8749 and 8754 = LCM of 8754 and 8749

Related Least Common Multiples of 8749

Related Least Common Multiples of 8754

Frequently Asked Questions on LCM of 8749 and 8754

1. What is the LCM of 8749 and 8754?

Answer: LCM of 8749 and 8754 is 76588746.

2. What are the Factors of 8749?

Answer: Factors of 8749 are 1, 13, 673, 8749. There are 4 integers that are factors of 8749. The greatest factor of 8749 is 8749.

3. What are the Factors of 8754?

Answer: Factors of 8754 are 1, 2, 3, 6, 1459, 2918, 4377, 8754. There are 8 integers that are factors of 8754. The greatest factor of 8754 is 8754.

4. How to Find the LCM of 8749 and 8754?

Answer:

Least Common Multiple of 8749 and 8754 = 76588746

Step 1: Find the prime factorization of 8749

8749 = 13 x 673

Step 2: Find the prime factorization of 8754

8754 = 2 x 3 x 1459

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

LCM = 76588746 = 2 x 3 x 13 x 673 x 1459

Step 4: Therefore, the least common multiple of 8749 and 8754 is 76588746.