Least Common Multiple of 747 and 748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 747 and 748 the smallest integer that is 558756 that is divisible by both numbers.

Least Common Multiple (LCM) of 747 and 748 is 558756.

LCM(747,748) = 558756

LCM of 747 and 748

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

LCM of:
and

Least Common Multiple of 747 and 748

LCM of 747 and 748 is 558756

Least common multiple can be found by multiplying the highest exponent prime factors of 747 and 748. First we will calculate the prime factors of 747 and 748.

Prime Factorization of 747


3 747
3 249
83 83
1

Prime factors of 747 are 3,83. Prime factorization of 747 in exponential form is:

747 = 32×831

Prime Factorization of 748


2 748
2 374
11 187
17 17
1

Prime factors of 748 are 2, 11,17. Prime factorization of 748 in exponential form is:

748 = 22×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 747 and 748.

LCM(747,748) = 22×32×111×171×831
LCM(747,748) = 558756

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Least Common Multiple of 747 and 748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 747 and 748, than apply into the LCM equation.

GCF(747,748) = 1
LCM(747,748) = ( 747 × 748) / 1
LCM(747,748) = 558756 / 1
LCM(747,748) = 558756

Properties of LCM 747 and 748

(i) The LCM of 748 and 747 is associative

LCM of 747 and 748 = LCM of 748 and 747

Related Least Common Multiples of 747

Related Least Common Multiples of 748

Frequently Asked Questions on LCM of 747 and 748

1. What is the LCM of 747 and 748?

Answer: LCM of 747 and 748 is 558756.

2. What are the Factors of 747?

Answer: Factors of 747 are 1, 3, 9, 83, 249, 747. There are 6 integers that are factors of 747. The greatest factor of 747 is 747.

3. What are the Factors of 748?

Answer: Factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748. There are 12 integers that are factors of 748. The greatest factor of 748 is 748.

4. How to Find the LCM of 747 and 748?

Answer:

Least Common Multiple of 747 and 748 = 558756

Step 1: Find the prime factorization of 747

747 = 3 x 3 x 83

Step 2: Find the prime factorization of 748

748 = 2 x 2 x 11 x 17

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

LCM = 558756 = 2 x 2 x 3 x 3 x 11 x 17 x 83

Step 4: Therefore, the least common multiple of 747 and 748 is 558756.