Least Common Multiple of 744 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 744 and 751 the smallest integer that is 558744 that is divisible by both numbers.

Least Common Multiple (LCM) of 744 and 751 is 558744.

LCM(744,751) = 558744

LCM of 744 and 751

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

LCM of:
and

Least Common Multiple of 744 and 751

LCM of 744 and 751 is 558744

Least common multiple can be found by multiplying the highest exponent prime factors of 744 and 751. First we will calculate the prime factors of 744 and 751.

Prime Factorization of 744


2 744
2 372
2 186
3 93
31 31
1

Prime factors of 744 are 2, 3,31. Prime factorization of 744 in exponential form is:

744 = 23×31×311

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 744 and 751.

LCM(744,751) = 23×31×311×7511
LCM(744,751) = 558744

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Factors of 751

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

1, 751

Least Common Multiple of 744 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 744 and 751, than apply into the LCM equation.

GCF(744,751) = 1
LCM(744,751) = ( 744 × 751) / 1
LCM(744,751) = 558744 / 1
LCM(744,751) = 558744

Properties of LCM 744 and 751

(i) The LCM of 751 and 744 is associative

LCM of 744 and 751 = LCM of 751 and 744

Related Least Common Multiples of 744

Related Least Common Multiples of 751

Frequently Asked Questions on LCM of 744 and 751

1. What is the LCM of 744 and 751?

Answer: LCM of 744 and 751 is 558744.

2. What are the Factors of 744?

Answer: Factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744. There are 16 integers that are factors of 744. The greatest factor of 744 is 744.

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 744 and 751?

Answer:

Least Common Multiple of 744 and 751 = 558744

Step 1: Find the prime factorization of 744

744 = 2 x 2 x 2 x 3 x 31

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 = 558744 = 2 x 2 x 2 x 3 x 31 x 751

Step 4: Therefore, the least common multiple of 744 and 751 is 558744.