Least Common Multiple of 7664 and 7670

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 7670 the smallest integer that is 29391440 that is divisible by both numbers.

Least Common Multiple (LCM) of 7664 and 7670 is 29391440.

LCM(7664,7670) = 29391440

LCM of 7664 and 7670

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

LCM of:
and

Least Common Multiple of 7664 and 7670

LCM of 7664 and 7670 is 29391440

Least common multiple can be found by multiplying the highest exponent prime factors of 7664 and 7670. First we will calculate the prime factors of 7664 and 7670.

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 7670


2 7670
5 3835
13 767
59 59
1

Prime factors of 7670 are 2, 5, 13,59. Prime factorization of 7670 in exponential form is:

7670 = 21×51×131×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7664 and 7670.

LCM(7664,7670) = 24×51×131×591×4791
LCM(7664,7670) = 29391440

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 7670

List of positive integer factors of 7670 that divides 7670 without a remainder.

1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670

Least Common Multiple of 7664 and 7670 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 7670, than apply into the LCM equation.

GCF(7664,7670) = 2
LCM(7664,7670) = ( 7664 × 7670) / 2
LCM(7664,7670) = 58782880 / 2
LCM(7664,7670) = 29391440

Properties of LCM 7664 and 7670

(i) The LCM of 7670 and 7664 is associative

LCM of 7664 and 7670 = LCM of 7670 and 7664

Related Least Common Multiples of 7664

Related Least Common Multiples of 7670

Frequently Asked Questions on LCM of 7664 and 7670

1. What is the LCM of 7664 and 7670?

Answer: LCM of 7664 and 7670 is 29391440.

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 7670?

Answer: Factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670. There are 16 integers that are factors of 7670. The greatest factor of 7670 is 7670.

4. How to Find the LCM of 7664 and 7670?

Answer:

Least Common Multiple of 7664 and 7670 = 29391440

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 7670

7670 = 2 x 5 x 13 x 59

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

LCM = 29391440 = 2 x 2 x 2 x 2 x 5 x 13 x 59 x 479

Step 4: Therefore, the least common multiple of 7664 and 7670 is 29391440.