Least Common Multiple of 741 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 741 and 748 the smallest integer that is 554268 that is divisible by both numbers.

Least Common Multiple (LCM) of 741 and 748 is 554268.

LCM(741,748) = 554268

LCM of 741 and 748

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

LCM of:
and

Least Common Multiple of 741 and 748

LCM of 741 and 748 is 554268

Least common multiple can be found by multiplying the highest exponent prime factors of 741 and 748. First we will calculate the prime factors of 741 and 748.

Prime Factorization of 741


3 741
13 247
19 19
1

Prime factors of 741 are 3, 13,19. Prime factorization of 741 in exponential form is:

741 = 31×131×191

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 741 and 748.

LCM(741,748) = 22×31×111×131×171×191
LCM(741,748) = 554268

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

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 741 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 741 and 748, than apply into the LCM equation.

GCF(741,748) = 1
LCM(741,748) = ( 741 × 748) / 1
LCM(741,748) = 554268 / 1
LCM(741,748) = 554268

Properties of LCM 741 and 748

(i) The LCM of 748 and 741 is associative

LCM of 741 and 748 = LCM of 748 and 741

Related Least Common Multiples of 741

Related Least Common Multiples of 748

Frequently Asked Questions on LCM of 741 and 748

1. What is the LCM of 741 and 748?

Answer: LCM of 741 and 748 is 554268.

2. What are the Factors of 741?

Answer: Factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741. There are 8 integers that are factors of 741. The greatest factor of 741 is 741.

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 741 and 748?

Answer:

Least Common Multiple of 741 and 748 = 554268

Step 1: Find the prime factorization of 741

741 = 3 x 13 x 19

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 = 554268 = 2 x 2 x 3 x 11 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 741 and 748 is 554268.