Least Common Multiple of 748 and 754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 748 and 754 the smallest integer that is 281996 that is divisible by both numbers.

Least Common Multiple (LCM) of 748 and 754 is 281996.

LCM(748,754) = 281996

LCM of 748 and 754

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

LCM of:
and

Least Common Multiple of 748 and 754

LCM of 748 and 754 is 281996

Least common multiple can be found by multiplying the highest exponent prime factors of 748 and 754. First we will calculate the prime factors of 748 and 754.

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

Prime Factorization of 754


2 754
13 377
29 29
1

Prime factors of 754 are 2, 13,29. Prime factorization of 754 in exponential form is:

754 = 21×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 748 and 754.

LCM(748,754) = 22×111×131×171×291
LCM(748,754) = 281996

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

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Least Common Multiple of 748 and 754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 748 and 754, than apply into the LCM equation.

GCF(748,754) = 2
LCM(748,754) = ( 748 × 754) / 2
LCM(748,754) = 563992 / 2
LCM(748,754) = 281996

Properties of LCM 748 and 754

(i) The LCM of 754 and 748 is associative

LCM of 748 and 754 = LCM of 754 and 748

Related Least Common Multiples of 748

Related Least Common Multiples of 754

Frequently Asked Questions on LCM of 748 and 754

1. What is the LCM of 748 and 754?

Answer: LCM of 748 and 754 is 281996.

2. 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.

3. What are the Factors of 754?

Answer: Factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754. There are 8 integers that are factors of 754. The greatest factor of 754 is 754.

4. How to Find the LCM of 748 and 754?

Answer:

Least Common Multiple of 748 and 754 = 281996

Step 1: Find the prime factorization of 748

748 = 2 x 2 x 11 x 17

Step 2: Find the prime factorization of 754

754 = 2 x 13 x 29

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

LCM = 281996 = 2 x 2 x 11 x 13 x 17 x 29

Step 4: Therefore, the least common multiple of 748 and 754 is 281996.