Least Common Multiple of 7661 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 7661 and 7664 the smallest integer that is 58713904 that is divisible by both numbers.

Least Common Multiple (LCM) of 7661 and 7664 is 58713904.

LCM(7661,7664) = 58713904

LCM of 7661 and 7664

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

LCM of:
and

Least Common Multiple of 7661 and 7664

LCM of 7661 and 7664 is 58713904

Least common multiple can be found by multiplying the highest exponent prime factors of 7661 and 7664. First we will calculate the prime factors of 7661 and 7664.

Prime Factorization of 7661


47 7661
163 163
1

Prime factors of 7661 are 47,163. Prime factorization of 7661 in exponential form is:

7661 = 471×1631

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 7661 and 7664.

LCM(7661,7664) = 24×471×1631×4791
LCM(7661,7664) = 58713904

Factors of 7661

List of positive integer factors of 7661 that divides 7661 without a remainder.

1, 47, 163, 7661

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 7661 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 7661 and 7664, than apply into the LCM equation.

GCF(7661,7664) = 1
LCM(7661,7664) = ( 7661 × 7664) / 1
LCM(7661,7664) = 58713904 / 1
LCM(7661,7664) = 58713904

Properties of LCM 7661 and 7664

(i) The LCM of 7664 and 7661 is associative

LCM of 7661 and 7664 = LCM of 7664 and 7661

Related Least Common Multiples of 7661

Related Least Common Multiples of 7664

Frequently Asked Questions on LCM of 7661 and 7664

1. What is the LCM of 7661 and 7664?

Answer: LCM of 7661 and 7664 is 58713904.

2. What are the Factors of 7661?

Answer: Factors of 7661 are 1, 47, 163, 7661. There are 4 integers that are factors of 7661. The greatest factor of 7661 is 7661.

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 7661 and 7664?

Answer:

Least Common Multiple of 7661 and 7664 = 58713904

Step 1: Find the prime factorization of 7661

7661 = 47 x 163

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 = 58713904 = 2 x 2 x 2 x 2 x 47 x 163 x 479

Step 4: Therefore, the least common multiple of 7661 and 7664 is 58713904.