Least Common Multiple of 87732 and 87737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 87732 and 87737 the smallest integer that is 7697342484 that is divisible by both numbers.

Least Common Multiple (LCM) of 87732 and 87737 is 7697342484.

LCM(87732,87737) = 7697342484

LCM of 87732 and 87737

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

LCM of:
and

Least Common Multiple of 87732 and 87737

LCM of 87732 and 87737 is 7697342484

Least common multiple can be found by multiplying the highest exponent prime factors of 87732 and 87737. First we will calculate the prime factors of 87732 and 87737.

Prime Factorization of 87732


2 87732
2 43866
3 21933
3 7311
2437 2437
1

Prime factors of 87732 are 2, 3,2437. Prime factorization of 87732 in exponential form is:

87732 = 22×32×24371

Prime Factorization of 87737


13 87737
17 6749
397 397
1

Prime factors of 87737 are 13, 17,397. Prime factorization of 87737 in exponential form is:

87737 = 131×171×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 87732 and 87737.

LCM(87732,87737) = 22×32×131×171×3971×24371
LCM(87732,87737) = 7697342484

Factors of 87732

List of positive integer factors of 87732 that divides 87732 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2437, 4874, 7311, 9748, 14622, 21933, 29244, 43866, 87732

Factors of 87737

List of positive integer factors of 87737 that divides 87737 without a remainder.

1, 13, 17, 221, 397, 5161, 6749, 87737

Least Common Multiple of 87732 and 87737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87732 and 87737, than apply into the LCM equation.

GCF(87732,87737) = 1
LCM(87732,87737) = ( 87732 × 87737) / 1
LCM(87732,87737) = 7697342484 / 1
LCM(87732,87737) = 7697342484

Properties of LCM 87732 and 87737

(i) The LCM of 87737 and 87732 is associative

LCM of 87732 and 87737 = LCM of 87737 and 87732

Related Least Common Multiples of 87732

Related Least Common Multiples of 87737

Frequently Asked Questions on LCM of 87732 and 87737

1. What is the LCM of 87732 and 87737?

Answer: LCM of 87732 and 87737 is 7697342484.

2. What are the Factors of 87732?

Answer: Factors of 87732 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 2437, 4874, 7311, 9748, 14622, 21933, 29244, 43866, 87732. There are 18 integers that are factors of 87732. The greatest factor of 87732 is 87732.

3. What are the Factors of 87737?

Answer: Factors of 87737 are 1, 13, 17, 221, 397, 5161, 6749, 87737. There are 8 integers that are factors of 87737. The greatest factor of 87737 is 87737.

4. How to Find the LCM of 87732 and 87737?

Answer:

Least Common Multiple of 87732 and 87737 = 7697342484

Step 1: Find the prime factorization of 87732

87732 = 2 x 2 x 3 x 3 x 2437

Step 2: Find the prime factorization of 87737

87737 = 13 x 17 x 397

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

LCM = 7697342484 = 2 x 2 x 3 x 3 x 13 x 17 x 397 x 2437

Step 4: Therefore, the least common multiple of 87732 and 87737 is 7697342484.