Least Common Multiple of 751 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 751 and 755 the smallest integer that is 567005 that is divisible by both numbers.

Least Common Multiple (LCM) of 751 and 755 is 567005.

LCM(751,755) = 567005

LCM of 751 and 755

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

LCM of:
and

Least Common Multiple of 751 and 755

LCM of 751 and 755 is 567005

Least common multiple can be found by multiplying the highest exponent prime factors of 751 and 755. First we will calculate the prime factors of 751 and 755.

Prime Factorization of 751


751 751
1

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 7511

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 751 and 755.

LCM(751,755) = 51×1511×7511
LCM(751,755) = 567005

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1, 751

Factors of 755

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

1, 5, 151, 755

Least Common Multiple of 751 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 751 and 755, than apply into the LCM equation.

GCF(751,755) = 1
LCM(751,755) = ( 751 × 755) / 1
LCM(751,755) = 567005 / 1
LCM(751,755) = 567005

Properties of LCM 751 and 755

(i) The LCM of 755 and 751 is associative

LCM of 751 and 755 = LCM of 755 and 751

Related Least Common Multiples of 751

Related Least Common Multiples of 755

Frequently Asked Questions on LCM of 751 and 755

1. What is the LCM of 751 and 755?

Answer: LCM of 751 and 755 is 567005.

2. What are the Factors of 751?

Answer: Factors of 751 are 1, 751. There are 2 integers that are factors of 751. The greatest factor of 751 is 751.

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 751 and 755?

Answer:

Least Common Multiple of 751 and 755 = 567005

Step 1: Find the prime factorization of 751

751 = 751

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 = 567005 = 5 x 151 x 751

Step 4: Therefore, the least common multiple of 751 and 755 is 567005.