Least Common Multiple of 7664 and 7671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7664 and 7671 the smallest integer that is 58790544 that is divisible by both numbers.

Least Common Multiple (LCM) of 7664 and 7671 is 58790544.

LCM(7664,7671) = 58790544

LCM of 7664 and 7671

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

LCM of:
and

Least Common Multiple of 7664 and 7671

LCM of 7664 and 7671 is 58790544

Least common multiple can be found by multiplying the highest exponent prime factors of 7664 and 7671. First we will calculate the prime factors of 7664 and 7671.

Prime Factorization of 7664


2 7664
2 3832
2 1916
2 958
479 479
1

Prime factors of 7664 are 2,479. Prime factorization of 7664 in exponential form is:

7664 = 24×4791

Prime Factorization of 7671


3 7671
2557 2557
1

Prime factors of 7671 are 3,2557. Prime factorization of 7671 in exponential form is:

7671 = 31×25571

Now multiplying the highest exponent prime factors to calculate the LCM of 7664 and 7671.

LCM(7664,7671) = 24×31×4791×25571
LCM(7664,7671) = 58790544

Factors of 7664

List of positive integer factors of 7664 that divides 7664 without a remainder.

1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664

Factors of 7671

List of positive integer factors of 7671 that divides 7671 without a remainder.

1, 3, 2557, 7671

Least Common Multiple of 7664 and 7671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7664 and 7671, than apply into the LCM equation.

GCF(7664,7671) = 1
LCM(7664,7671) = ( 7664 × 7671) / 1
LCM(7664,7671) = 58790544 / 1
LCM(7664,7671) = 58790544

Properties of LCM 7664 and 7671

(i) The LCM of 7671 and 7664 is associative

LCM of 7664 and 7671 = LCM of 7671 and 7664

Related Least Common Multiples of 7664

Related Least Common Multiples of 7671

Frequently Asked Questions on LCM of 7664 and 7671

1. What is the LCM of 7664 and 7671?

Answer: LCM of 7664 and 7671 is 58790544.

2. What are the Factors of 7664?

Answer: Factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664. There are 10 integers that are factors of 7664. The greatest factor of 7664 is 7664.

3. What are the Factors of 7671?

Answer: Factors of 7671 are 1, 3, 2557, 7671. There are 4 integers that are factors of 7671. The greatest factor of 7671 is 7671.

4. How to Find the LCM of 7664 and 7671?

Answer:

Least Common Multiple of 7664 and 7671 = 58790544

Step 1: Find the prime factorization of 7664

7664 = 2 x 2 x 2 x 2 x 479

Step 2: Find the prime factorization of 7671

7671 = 3 x 2557

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

LCM = 58790544 = 2 x 2 x 2 x 2 x 3 x 479 x 2557

Step 4: Therefore, the least common multiple of 7664 and 7671 is 58790544.