Least Common Multiple of 6758 and 6765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6758 and 6765 the smallest integer that is 45717870 that is divisible by both numbers.

Least Common Multiple (LCM) of 6758 and 6765 is 45717870.

LCM(6758,6765) = 45717870

LCM of 6758 and 6765

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

LCM of:
and

Least Common Multiple of 6758 and 6765

LCM of 6758 and 6765 is 45717870

Least common multiple can be found by multiplying the highest exponent prime factors of 6758 and 6765. First we will calculate the prime factors of 6758 and 6765.

Prime Factorization of 6758


2 6758
31 3379
109 109
1

Prime factors of 6758 are 2, 31,109. Prime factorization of 6758 in exponential form is:

6758 = 21×311×1091

Prime Factorization of 6765


3 6765
5 2255
11 451
41 41
1

Prime factors of 6765 are 3, 5, 11,41. Prime factorization of 6765 in exponential form is:

6765 = 31×51×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6758 and 6765.

LCM(6758,6765) = 21×31×51×111×311×411×1091
LCM(6758,6765) = 45717870

Factors of 6758

List of positive integer factors of 6758 that divides 6758 without a remainder.

1, 2, 31, 62, 109, 218, 3379, 6758

Factors of 6765

List of positive integer factors of 6765 that divides 6765 without a remainder.

1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765

Least Common Multiple of 6758 and 6765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6758 and 6765, than apply into the LCM equation.

GCF(6758,6765) = 1
LCM(6758,6765) = ( 6758 × 6765) / 1
LCM(6758,6765) = 45717870 / 1
LCM(6758,6765) = 45717870

Properties of LCM 6758 and 6765

(i) The LCM of 6765 and 6758 is associative

LCM of 6758 and 6765 = LCM of 6765 and 6758

Related Least Common Multiples of 6758

Related Least Common Multiples of 6765

Frequently Asked Questions on LCM of 6758 and 6765

1. What is the LCM of 6758 and 6765?

Answer: LCM of 6758 and 6765 is 45717870.

2. What are the Factors of 6758?

Answer: Factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758. There are 8 integers that are factors of 6758. The greatest factor of 6758 is 6758.

3. What are the Factors of 6765?

Answer: Factors of 6765 are 1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765. There are 16 integers that are factors of 6765. The greatest factor of 6765 is 6765.

4. How to Find the LCM of 6758 and 6765?

Answer:

Least Common Multiple of 6758 and 6765 = 45717870

Step 1: Find the prime factorization of 6758

6758 = 2 x 31 x 109

Step 2: Find the prime factorization of 6765

6765 = 3 x 5 x 11 x 41

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

LCM = 45717870 = 2 x 3 x 5 x 11 x 31 x 41 x 109

Step 4: Therefore, the least common multiple of 6758 and 6765 is 45717870.