Least Common Multiple of 743 and 748

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 748 the smallest integer that is 555764 that is divisible by both numbers.

Least Common Multiple (LCM) of 743 and 748 is 555764.

LCM(743,748) = 555764

LCM of 743 and 748

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

LCM of:
and

Least Common Multiple of 743 and 748

LCM of 743 and 748 is 555764

Least common multiple can be found by multiplying the highest exponent prime factors of 743 and 748. First we will calculate the prime factors of 743 and 748.

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 748


2 748
2 374
11 187
17 17
1

Prime factors of 748 are 2, 11,17. Prime factorization of 748 in exponential form is:

748 = 22×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 743 and 748.

LCM(743,748) = 22×111×171×7431
LCM(743,748) = 555764

Factors of 743

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

1, 743

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Least Common Multiple of 743 and 748 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 748, than apply into the LCM equation.

GCF(743,748) = 1
LCM(743,748) = ( 743 × 748) / 1
LCM(743,748) = 555764 / 1
LCM(743,748) = 555764

Properties of LCM 743 and 748

(i) The LCM of 748 and 743 is associative

LCM of 743 and 748 = LCM of 748 and 743

Related Least Common Multiples of 743

Related Least Common Multiples of 748

Frequently Asked Questions on LCM of 743 and 748

1. What is the LCM of 743 and 748?

Answer: LCM of 743 and 748 is 555764.

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 748?

Answer: Factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748. There are 12 integers that are factors of 748. The greatest factor of 748 is 748.

4. How to Find the LCM of 743 and 748?

Answer:

Least Common Multiple of 743 and 748 = 555764

Step 1: Find the prime factorization of 743

743 = 743

Step 2: Find the prime factorization of 748

748 = 2 x 2 x 11 x 17

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

LCM = 555764 = 2 x 2 x 11 x 17 x 743

Step 4: Therefore, the least common multiple of 743 and 748 is 555764.