Least Common Multiple of 87727 and 87732

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

• Least Common Multiple of 87727 and 87732 by Prime method
• Least Common Multiple of 87727 and 87732 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 87727 and 87732. First we will calculate the prime factors of 87727 and 87732.

Prime Factorization of 87727

Prime factors of 87727 are 37,2371. Prime factorization of 87727 in exponential form is:

87727 = 37¹×2371¹

Prime Factorization of 87732

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

87732 = 2²×3²×2437¹

Now multiplying the highest exponent prime factors to calculate the LCM of 87727 and 87732.

LCM(87727,87732) = 2²×3²×37¹×2371¹×2437¹
LCM(87727,87732) = 7696465164

Factors of 87727

List of positive integer factors of 87727 that divides 87727 without a remainder.

1, 37, 2371, 87727

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87727 and 87732, than apply into the LCM equation.

GCF(87727,87732) = 1
LCM(87727,87732) = ( 87727 × 87732) / 1
LCM(87727,87732) = 7696465164 / 1
LCM(87727,87732) = 7696465164

(i) The LCM of 87732 and 87727 is associative

LCM of 87727 and 87732 = LCM of 87732 and 87727

1. What is the LCM of 87727 and 87732?

Answer: LCM of 87727 and 87732 is 7696465164.

2. What are the Factors of 87727?

Answer: Factors of 87727 are 1, 37, 2371, 87727. There are 4 integers that are factors of 87727. The greatest factor of 87727 is 87727.

3. 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.

4. How to Find the LCM of 87727 and 87732?

Answer:

Least Common Multiple of 87727 and 87732 = 7696465164

Step 1: Find the prime factorization of 87727

87727 = 37 x 2371

Step 2: Find the prime factorization of 87732

87732 = 2 x 2 x 3 x 3 x 2437

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

LCM = 7696465164 = 2 x 2 x 3 x 3 x 37 x 2371 x 2437

Step 4: Therefore, the least common multiple of 87727 and 87732 is 7696465164.