Least Common Multiple of 87729 and 87736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 87729 and 87736 the smallest integer that is 7696991544 that is divisible by both numbers.

Least Common Multiple (LCM) of 87729 and 87736 is 7696991544.

LCM(87729,87736) = 7696991544

LCM of 87729 and 87736

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

LCM of:
and

Least Common Multiple of 87729 and 87736

LCM of 87729 and 87736 is 7696991544

Least common multiple can be found by multiplying the highest exponent prime factors of 87729 and 87736. First we will calculate the prime factors of 87729 and 87736.

Prime Factorization of 87729


3 87729
29243 29243
1

Prime factors of 87729 are 3,29243. Prime factorization of 87729 in exponential form is:

87729 = 31×292431

Prime Factorization of 87736


2 87736
2 43868
2 21934
11 10967
997 997
1

Prime factors of 87736 are 2, 11,997. Prime factorization of 87736 in exponential form is:

87736 = 23×111×9971

Now multiplying the highest exponent prime factors to calculate the LCM of 87729 and 87736.

LCM(87729,87736) = 23×31×111×9971×292431
LCM(87729,87736) = 7696991544

Factors of 87729

List of positive integer factors of 87729 that divides 87729 without a remainder.

1, 3, 29243, 87729

Factors of 87736

List of positive integer factors of 87736 that divides 87736 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 997, 1994, 3988, 7976, 10967, 21934, 43868, 87736

Least Common Multiple of 87729 and 87736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87729 and 87736, than apply into the LCM equation.

GCF(87729,87736) = 1
LCM(87729,87736) = ( 87729 × 87736) / 1
LCM(87729,87736) = 7696991544 / 1
LCM(87729,87736) = 7696991544

Properties of LCM 87729 and 87736

(i) The LCM of 87736 and 87729 is associative

LCM of 87729 and 87736 = LCM of 87736 and 87729

Related Least Common Multiples of 87729

Related Least Common Multiples of 87736

Frequently Asked Questions on LCM of 87729 and 87736

1. What is the LCM of 87729 and 87736?

Answer: LCM of 87729 and 87736 is 7696991544.

2. What are the Factors of 87729?

Answer: Factors of 87729 are 1, 3, 29243, 87729. There are 4 integers that are factors of 87729. The greatest factor of 87729 is 87729.

3. What are the Factors of 87736?

Answer: Factors of 87736 are 1, 2, 4, 8, 11, 22, 44, 88, 997, 1994, 3988, 7976, 10967, 21934, 43868, 87736. There are 16 integers that are factors of 87736. The greatest factor of 87736 is 87736.

4. How to Find the LCM of 87729 and 87736?

Answer:

Least Common Multiple of 87729 and 87736 = 7696991544

Step 1: Find the prime factorization of 87729

87729 = 3 x 29243

Step 2: Find the prime factorization of 87736

87736 = 2 x 2 x 2 x 11 x 997

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

LCM = 7696991544 = 2 x 2 x 2 x 3 x 11 x 997 x 29243

Step 4: Therefore, the least common multiple of 87729 and 87736 is 7696991544.