Least Common Multiple of 743 and 749

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 749 the smallest integer that is 556507 that is divisible by both numbers.

Least Common Multiple (LCM) of 743 and 749 is 556507.

LCM(743,749) = 556507

LCM of 743 and 749

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

LCM of:
and

Least Common Multiple of 743 and 749

LCM of 743 and 749 is 556507

Least common multiple can be found by multiplying the highest exponent prime factors of 743 and 749. First we will calculate the prime factors of 743 and 749.

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 749


7 749
107 107
1

Prime factors of 749 are 7,107. Prime factorization of 749 in exponential form is:

749 = 71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 743 and 749.

LCM(743,749) = 71×1071×7431
LCM(743,749) = 556507

Factors of 743

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

1, 743

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Least Common Multiple of 743 and 749 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 749, than apply into the LCM equation.

GCF(743,749) = 1
LCM(743,749) = ( 743 × 749) / 1
LCM(743,749) = 556507 / 1
LCM(743,749) = 556507

Properties of LCM 743 and 749

(i) The LCM of 749 and 743 is associative

LCM of 743 and 749 = LCM of 749 and 743

Related Least Common Multiples of 743

Related Least Common Multiples of 749

Frequently Asked Questions on LCM of 743 and 749

1. What is the LCM of 743 and 749?

Answer: LCM of 743 and 749 is 556507.

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 749?

Answer: Factors of 749 are 1, 7, 107, 749. There are 4 integers that are factors of 749. The greatest factor of 749 is 749.

4. How to Find the LCM of 743 and 749?

Answer:

Least Common Multiple of 743 and 749 = 556507

Step 1: Find the prime factorization of 743

743 = 743

Step 2: Find the prime factorization of 749

749 = 7 x 107

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

LCM = 556507 = 7 x 107 x 743

Step 4: Therefore, the least common multiple of 743 and 749 is 556507.