Least Common Multiple of 747 and 751

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 751 the smallest integer that is 560997 that is divisible by both numbers.

Least Common Multiple (LCM) of 747 and 751 is 560997.

LCM(747,751) = 560997

LCM of 747 and 751

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

LCM of:
and

Least Common Multiple of 747 and 751

LCM of 747 and 751 is 560997

Least common multiple can be found by multiplying the highest exponent prime factors of 747 and 751. First we will calculate the prime factors of 747 and 751.

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 751


751 751
1

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 747 and 751.

LCM(747,751) = 32×831×7511
LCM(747,751) = 560997

Factors of 747

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

1, 3, 9, 83, 249, 747

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1, 751

Least Common Multiple of 747 and 751 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 751, than apply into the LCM equation.

GCF(747,751) = 1
LCM(747,751) = ( 747 × 751) / 1
LCM(747,751) = 560997 / 1
LCM(747,751) = 560997

Properties of LCM 747 and 751

(i) The LCM of 751 and 747 is associative

LCM of 747 and 751 = LCM of 751 and 747

Related Least Common Multiples of 747

Related Least Common Multiples of 751

Frequently Asked Questions on LCM of 747 and 751

1. What is the LCM of 747 and 751?

Answer: LCM of 747 and 751 is 560997.

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 751?

Answer: Factors of 751 are 1, 751. There are 2 integers that are factors of 751. The greatest factor of 751 is 751.

4. How to Find the LCM of 747 and 751?

Answer:

Least Common Multiple of 747 and 751 = 560997

Step 1: Find the prime factorization of 747

747 = 3 x 3 x 83

Step 2: Find the prime factorization of 751

751 = 751

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

LCM = 560997 = 3 x 3 x 83 x 751

Step 4: Therefore, the least common multiple of 747 and 751 is 560997.