Least Common Multiple of 7657 and 7664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7657 and 7664 the smallest integer that is 58683248 that is divisible by both numbers.

Least Common Multiple (LCM) of 7657 and 7664 is 58683248.

LCM(7657,7664) = 58683248

LCM of 7657 and 7664

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

LCM of:
and

Least Common Multiple of 7657 and 7664

LCM of 7657 and 7664 is 58683248

Least common multiple can be found by multiplying the highest exponent prime factors of 7657 and 7664. First we will calculate the prime factors of 7657 and 7664.

Prime Factorization of 7657


13 7657
19 589
31 31
1

Prime factors of 7657 are 13, 19,31. Prime factorization of 7657 in exponential form is:

7657 = 131×191×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7657 and 7664.

LCM(7657,7664) = 24×131×191×311×4791
LCM(7657,7664) = 58683248

Factors of 7657

List of positive integer factors of 7657 that divides 7657 without a remainder.

1, 13, 19, 31, 247, 403, 589, 7657

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

Least Common Multiple of 7657 and 7664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7657 and 7664, than apply into the LCM equation.

GCF(7657,7664) = 1
LCM(7657,7664) = ( 7657 × 7664) / 1
LCM(7657,7664) = 58683248 / 1
LCM(7657,7664) = 58683248

Properties of LCM 7657 and 7664

(i) The LCM of 7664 and 7657 is associative

LCM of 7657 and 7664 = LCM of 7664 and 7657

Related Least Common Multiples of 7657

Related Least Common Multiples of 7664

Frequently Asked Questions on LCM of 7657 and 7664

1. What is the LCM of 7657 and 7664?

Answer: LCM of 7657 and 7664 is 58683248.

2. What are the Factors of 7657?

Answer: Factors of 7657 are 1, 13, 19, 31, 247, 403, 589, 7657. There are 8 integers that are factors of 7657. The greatest factor of 7657 is 7657.

3. 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.

4. How to Find the LCM of 7657 and 7664?

Answer:

Least Common Multiple of 7657 and 7664 = 58683248

Step 1: Find the prime factorization of 7657

7657 = 13 x 19 x 31

Step 2: Find the prime factorization of 7664

7664 = 2 x 2 x 2 x 2 x 479

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

LCM = 58683248 = 2 x 2 x 2 x 2 x 13 x 19 x 31 x 479

Step 4: Therefore, the least common multiple of 7657 and 7664 is 58683248.