Least Common Multiple of 747 and 753

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 753 the smallest integer that is 187497 that is divisible by both numbers.

Least Common Multiple (LCM) of 747 and 753 is 187497.

LCM(747,753) = 187497

LCM of 747 and 753

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

LCM of:
and

Least Common Multiple of 747 and 753

LCM of 747 and 753 is 187497

Least common multiple can be found by multiplying the highest exponent prime factors of 747 and 753. First we will calculate the prime factors of 747 and 753.

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 753


3 753
251 251
1

Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:

753 = 31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 747 and 753.

LCM(747,753) = 32×831×2511
LCM(747,753) = 187497

Factors of 747

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

1, 3, 9, 83, 249, 747

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Least Common Multiple of 747 and 753 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 753, than apply into the LCM equation.

GCF(747,753) = 3
LCM(747,753) = ( 747 × 753) / 3
LCM(747,753) = 562491 / 3
LCM(747,753) = 187497

Properties of LCM 747 and 753

(i) The LCM of 753 and 747 is associative

LCM of 747 and 753 = LCM of 753 and 747

Related Least Common Multiples of 747

Related Least Common Multiples of 753

Frequently Asked Questions on LCM of 747 and 753

1. What is the LCM of 747 and 753?

Answer: LCM of 747 and 753 is 187497.

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 753?

Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.

4. How to Find the LCM of 747 and 753?

Answer:

Least Common Multiple of 747 and 753 = 187497

Step 1: Find the prime factorization of 747

747 = 3 x 3 x 83

Step 2: Find the prime factorization of 753

753 = 3 x 251

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

LCM = 187497 = 3 x 3 x 83 x 251

Step 4: Therefore, the least common multiple of 747 and 753 is 187497.