Least Common Multiple of 755 and 759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 755 and 759 the smallest integer that is 573045 that is divisible by both numbers.

Least Common Multiple (LCM) of 755 and 759 is 573045.

LCM(755,759) = 573045

LCM of 755 and 759

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

LCM of:
and

Least Common Multiple of 755 and 759

LCM of 755 and 759 is 573045

Least common multiple can be found by multiplying the highest exponent prime factors of 755 and 759. First we will calculate the prime factors of 755 and 759.

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

Prime Factorization of 759


3 759
11 253
23 23
1

Prime factors of 759 are 3, 11,23. Prime factorization of 759 in exponential form is:

759 = 31×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 755 and 759.

LCM(755,759) = 31×51×111×231×1511
LCM(755,759) = 573045

Factors of 755

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

1, 5, 151, 755

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Least Common Multiple of 755 and 759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 755 and 759, than apply into the LCM equation.

GCF(755,759) = 1
LCM(755,759) = ( 755 × 759) / 1
LCM(755,759) = 573045 / 1
LCM(755,759) = 573045

Properties of LCM 755 and 759

(i) The LCM of 759 and 755 is associative

LCM of 755 and 759 = LCM of 759 and 755

Related Least Common Multiples of 755

Related Least Common Multiples of 759

Frequently Asked Questions on LCM of 755 and 759

1. What is the LCM of 755 and 759?

Answer: LCM of 755 and 759 is 573045.

2. 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.

3. What are the Factors of 759?

Answer: Factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759. There are 8 integers that are factors of 759. The greatest factor of 759 is 759.

4. How to Find the LCM of 755 and 759?

Answer:

Least Common Multiple of 755 and 759 = 573045

Step 1: Find the prime factorization of 755

755 = 5 x 151

Step 2: Find the prime factorization of 759

759 = 3 x 11 x 23

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

LCM = 573045 = 3 x 5 x 11 x 23 x 151

Step 4: Therefore, the least common multiple of 755 and 759 is 573045.