Least Common Multiple of 748 and 755

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 755 the smallest integer that is 564740 that is divisible by both numbers.

Least Common Multiple (LCM) of 748 and 755 is 564740.

LCM(748,755) = 564740

LCM of 748 and 755

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

LCM of:
and

Least Common Multiple of 748 and 755

LCM of 748 and 755 is 564740

Least common multiple can be found by multiplying the highest exponent prime factors of 748 and 755. First we will calculate the prime factors of 748 and 755.

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 755


5 755
151 151
1

Prime factors of 755 are 5,151. Prime factorization of 755 in exponential form is:

755 = 51×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 748 and 755.

LCM(748,755) = 22×51×111×171×1511
LCM(748,755) = 564740

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 755

List of positive integer factors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Least Common Multiple of 748 and 755 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 755, than apply into the LCM equation.

GCF(748,755) = 1
LCM(748,755) = ( 748 × 755) / 1
LCM(748,755) = 564740 / 1
LCM(748,755) = 564740

Properties of LCM 748 and 755

(i) The LCM of 755 and 748 is associative

LCM of 748 and 755 = LCM of 755 and 748

Related Least Common Multiples of 748

Related Least Common Multiples of 755

Frequently Asked Questions on LCM of 748 and 755

1. What is the LCM of 748 and 755?

Answer: LCM of 748 and 755 is 564740.

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 755?

Answer: Factors of 755 are 1, 5, 151, 755. There are 4 integers that are factors of 755. The greatest factor of 755 is 755.

4. How to Find the LCM of 748 and 755?

Answer:

Least Common Multiple of 748 and 755 = 564740

Step 1: Find the prime factorization of 748

748 = 2 x 2 x 11 x 17

Step 2: Find the prime factorization of 755

755 = 5 x 151

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

LCM = 564740 = 2 x 2 x 5 x 11 x 17 x 151

Step 4: Therefore, the least common multiple of 748 and 755 is 564740.