Least Common Multiple of 7664 and 7672

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 7672 the smallest integer that is 7349776 that is divisible by both numbers.

Least Common Multiple (LCM) of 7664 and 7672 is 7349776.

LCM(7664,7672) = 7349776

LCM of 7664 and 7672

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

LCM of:
and

Least Common Multiple of 7664 and 7672

LCM of 7664 and 7672 is 7349776

Least common multiple can be found by multiplying the highest exponent prime factors of 7664 and 7672. First we will calculate the prime factors of 7664 and 7672.

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 7672


2 7672
2 3836
2 1918
7 959
137 137
1

Prime factors of 7672 are 2, 7,137. Prime factorization of 7672 in exponential form is:

7672 = 23×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 7664 and 7672.

LCM(7664,7672) = 24×71×1371×4791
LCM(7664,7672) = 7349776

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 7672

List of positive integer factors of 7672 that divides 7672 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672

Least Common Multiple of 7664 and 7672 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 7672, than apply into the LCM equation.

GCF(7664,7672) = 8
LCM(7664,7672) = ( 7664 × 7672) / 8
LCM(7664,7672) = 58798208 / 8
LCM(7664,7672) = 7349776

Properties of LCM 7664 and 7672

(i) The LCM of 7672 and 7664 is associative

LCM of 7664 and 7672 = LCM of 7672 and 7664

Related Least Common Multiples of 7664

Related Least Common Multiples of 7672

Frequently Asked Questions on LCM of 7664 and 7672

1. What is the LCM of 7664 and 7672?

Answer: LCM of 7664 and 7672 is 7349776.

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 7672?

Answer: Factors of 7672 are 1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672. There are 16 integers that are factors of 7672. The greatest factor of 7672 is 7672.

4. How to Find the LCM of 7664 and 7672?

Answer:

Least Common Multiple of 7664 and 7672 = 7349776

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 7672

7672 = 2 x 2 x 2 x 7 x 137

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

LCM = 7349776 = 2 x 2 x 2 x 2 x 7 x 137 x 479

Step 4: Therefore, the least common multiple of 7664 and 7672 is 7349776.