Least Common Multiple of 743 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 743 and 751 the smallest integer that is 557993 that is divisible by both numbers.

Least Common Multiple (LCM) of 743 and 751 is 557993.

LCM(743,751) = 557993

LCM of 743 and 751

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

LCM of:
and

Least Common Multiple of 743 and 751

LCM of 743 and 751 is 557993

Least common multiple can be found by multiplying the highest exponent prime factors of 743 and 751. First we will calculate the prime factors of 743 and 751.

Prime Factorization of 743


743 743
1

Prime factors of 743 are 743. Prime factorization of 743 in exponential form is:

743 = 7431

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 743 and 751.

LCM(743,751) = 7431×7511
LCM(743,751) = 557993

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1, 743

Factors of 751

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

1, 751

Least Common Multiple of 743 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 743 and 751, than apply into the LCM equation.

GCF(743,751) = 1
LCM(743,751) = ( 743 × 751) / 1
LCM(743,751) = 557993 / 1
LCM(743,751) = 557993

Properties of LCM 743 and 751

(i) The LCM of 751 and 743 is associative

LCM of 743 and 751 = LCM of 751 and 743

Related Least Common Multiples of 743

Related Least Common Multiples of 751

Frequently Asked Questions on LCM of 743 and 751

1. What is the LCM of 743 and 751?

Answer: LCM of 743 and 751 is 557993.

2. What are the Factors of 743?

Answer: Factors of 743 are 1, 743. There are 2 integers that are factors of 743. The greatest factor of 743 is 743.

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 743 and 751?

Answer:

Least Common Multiple of 743 and 751 = 557993

Step 1: Find the prime factorization of 743

743 = 743

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 = 557993 = 743 x 751

Step 4: Therefore, the least common multiple of 743 and 751 is 557993.