Least Common Multiple of 6758 and 6764

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 6764 the smallest integer that is 22855556 that is divisible by both numbers.

Least Common Multiple (LCM) of 6758 and 6764 is 22855556.

LCM(6758,6764) = 22855556

LCM of 6758 and 6764

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

LCM of:
and

Least Common Multiple of 6758 and 6764

LCM of 6758 and 6764 is 22855556

Least common multiple can be found by multiplying the highest exponent prime factors of 6758 and 6764. First we will calculate the prime factors of 6758 and 6764.

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 6764


2 6764
2 3382
19 1691
89 89
1

Prime factors of 6764 are 2, 19,89. Prime factorization of 6764 in exponential form is:

6764 = 22×191×891

Now multiplying the highest exponent prime factors to calculate the LCM of 6758 and 6764.

LCM(6758,6764) = 22×191×311×891×1091
LCM(6758,6764) = 22855556

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 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764

Least Common Multiple of 6758 and 6764 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 6764, than apply into the LCM equation.

GCF(6758,6764) = 2
LCM(6758,6764) = ( 6758 × 6764) / 2
LCM(6758,6764) = 45711112 / 2
LCM(6758,6764) = 22855556

Properties of LCM 6758 and 6764

(i) The LCM of 6764 and 6758 is associative

LCM of 6758 and 6764 = LCM of 6764 and 6758

Related Least Common Multiples of 6758

Related Least Common Multiples of 6764

Frequently Asked Questions on LCM of 6758 and 6764

1. What is the LCM of 6758 and 6764?

Answer: LCM of 6758 and 6764 is 22855556.

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 6764?

Answer: Factors of 6764 are 1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764. There are 12 integers that are factors of 6764. The greatest factor of 6764 is 6764.

4. How to Find the LCM of 6758 and 6764?

Answer:

Least Common Multiple of 6758 and 6764 = 22855556

Step 1: Find the prime factorization of 6758

6758 = 2 x 31 x 109

Step 2: Find the prime factorization of 6764

6764 = 2 x 2 x 19 x 89

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

LCM = 22855556 = 2 x 2 x 19 x 31 x 89 x 109

Step 4: Therefore, the least common multiple of 6758 and 6764 is 22855556.