Least Common Multiple of 87730 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 87730 and 87736 the smallest integer that is 3848539640 that is divisible by both numbers.

Least Common Multiple (LCM) of 87730 and 87736 is 3848539640.

LCM(87730,87736) = 3848539640

LCM of 87730 and 87736

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

LCM of:
and

Least Common Multiple of 87730 and 87736

LCM of 87730 and 87736 is 3848539640

Least common multiple can be found by multiplying the highest exponent prime factors of 87730 and 87736. First we will calculate the prime factors of 87730 and 87736.

Prime Factorization of 87730


2 87730
5 43865
31 8773
283 283
1

Prime factors of 87730 are 2, 5, 31,283. Prime factorization of 87730 in exponential form is:

87730 = 21×51×311×2831

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 87730 and 87736.

LCM(87730,87736) = 23×51×111×311×2831×9971
LCM(87730,87736) = 3848539640

Factors of 87730

List of positive integer factors of 87730 that divides 87730 without a remainder.

1, 2, 5, 10, 31, 62, 155, 283, 310, 566, 1415, 2830, 8773, 17546, 43865, 87730

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 87730 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 87730 and 87736, than apply into the LCM equation.

GCF(87730,87736) = 2
LCM(87730,87736) = ( 87730 × 87736) / 2
LCM(87730,87736) = 7697079280 / 2
LCM(87730,87736) = 3848539640

Properties of LCM 87730 and 87736

(i) The LCM of 87736 and 87730 is associative

LCM of 87730 and 87736 = LCM of 87736 and 87730

Related Least Common Multiples of 87730

Related Least Common Multiples of 87736

Frequently Asked Questions on LCM of 87730 and 87736

1. What is the LCM of 87730 and 87736?

Answer: LCM of 87730 and 87736 is 3848539640.

2. What are the Factors of 87730?

Answer: Factors of 87730 are 1, 2, 5, 10, 31, 62, 155, 283, 310, 566, 1415, 2830, 8773, 17546, 43865, 87730. There are 16 integers that are factors of 87730. The greatest factor of 87730 is 87730.

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 87730 and 87736?

Answer:

Least Common Multiple of 87730 and 87736 = 3848539640

Step 1: Find the prime factorization of 87730

87730 = 2 x 5 x 31 x 283

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 = 3848539640 = 2 x 2 x 2 x 5 x 11 x 31 x 283 x 997

Step 4: Therefore, the least common multiple of 87730 and 87736 is 3848539640.