Least Common Multiple of 759 and 763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 759 and 763 the smallest integer that is 579117 that is divisible by both numbers.

Least Common Multiple (LCM) of 759 and 763 is 579117.

LCM(759,763) = 579117

LCM of 759 and 763

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

LCM of:
and

Least Common Multiple of 759 and 763

LCM of 759 and 763 is 579117

Least common multiple can be found by multiplying the highest exponent prime factors of 759 and 763. First we will calculate the prime factors of 759 and 763.

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

Prime Factorization of 763


7 763
109 109
1

Prime factors of 763 are 7,109. Prime factorization of 763 in exponential form is:

763 = 71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 759 and 763.

LCM(759,763) = 31×71×111×231×1091
LCM(759,763) = 579117

Factors of 759

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

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

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Least Common Multiple of 759 and 763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 759 and 763, than apply into the LCM equation.

GCF(759,763) = 1
LCM(759,763) = ( 759 × 763) / 1
LCM(759,763) = 579117 / 1
LCM(759,763) = 579117

Properties of LCM 759 and 763

(i) The LCM of 763 and 759 is associative

LCM of 759 and 763 = LCM of 763 and 759

Related Least Common Multiples of 759

Related Least Common Multiples of 763

Frequently Asked Questions on LCM of 759 and 763

1. What is the LCM of 759 and 763?

Answer: LCM of 759 and 763 is 579117.

2. 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.

3. What are the Factors of 763?

Answer: Factors of 763 are 1, 7, 109, 763. There are 4 integers that are factors of 763. The greatest factor of 763 is 763.

4. How to Find the LCM of 759 and 763?

Answer:

Least Common Multiple of 759 and 763 = 579117

Step 1: Find the prime factorization of 759

759 = 3 x 11 x 23

Step 2: Find the prime factorization of 763

763 = 7 x 109

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

LCM = 579117 = 3 x 7 x 11 x 23 x 109

Step 4: Therefore, the least common multiple of 759 and 763 is 579117.