Least Common Multiple of 87732 and 87740

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 87740 the smallest integer that is 1924401420 that is divisible by both numbers.

Least Common Multiple (LCM) of 87732 and 87740 is 1924401420.

LCM(87732,87740) = 1924401420

LCM of 87732 and 87740

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

LCM of:
and

Least Common Multiple of 87732 and 87740

LCM of 87732 and 87740 is 1924401420

Least common multiple can be found by multiplying the highest exponent prime factors of 87732 and 87740. First we will calculate the prime factors of 87732 and 87740.

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 87740


2 87740
2 43870
5 21935
41 4387
107 107
1

Prime factors of 87740 are 2, 5, 41,107. Prime factorization of 87740 in exponential form is:

87740 = 22×51×411×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 87732 and 87740.

LCM(87732,87740) = 22×32×51×411×1071×24371
LCM(87732,87740) = 1924401420

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 87740

List of positive integer factors of 87740 that divides 87740 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 107, 164, 205, 214, 410, 428, 535, 820, 1070, 2140, 4387, 8774, 17548, 21935, 43870, 87740

Least Common Multiple of 87732 and 87740 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 87740, than apply into the LCM equation.

GCF(87732,87740) = 4
LCM(87732,87740) = ( 87732 × 87740) / 4
LCM(87732,87740) = 7697605680 / 4
LCM(87732,87740) = 1924401420

Properties of LCM 87732 and 87740

(i) The LCM of 87740 and 87732 is associative

LCM of 87732 and 87740 = LCM of 87740 and 87732

Related Least Common Multiples of 87732

Related Least Common Multiples of 87740

Frequently Asked Questions on LCM of 87732 and 87740

1. What is the LCM of 87732 and 87740?

Answer: LCM of 87732 and 87740 is 1924401420.

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 87740?

Answer: Factors of 87740 are 1, 2, 4, 5, 10, 20, 41, 82, 107, 164, 205, 214, 410, 428, 535, 820, 1070, 2140, 4387, 8774, 17548, 21935, 43870, 87740. There are 24 integers that are factors of 87740. The greatest factor of 87740 is 87740.

4. How to Find the LCM of 87732 and 87740?

Answer:

Least Common Multiple of 87732 and 87740 = 1924401420

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 87740

87740 = 2 x 2 x 5 x 41 x 107

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

LCM = 1924401420 = 2 x 2 x 3 x 3 x 5 x 41 x 107 x 2437

Step 4: Therefore, the least common multiple of 87732 and 87740 is 1924401420.