Least Common Multiple of 87727 and 87730

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

• Least Common Multiple of 87727 and 87730 by Prime method
• Least Common Multiple of 87727 and 87730 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 87727 and 87730. First we will calculate the prime factors of 87727 and 87730.

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 87730

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

87730 = 2¹×5¹×31¹×283¹

Now multiplying the highest exponent prime factors to calculate the LCM of 87727 and 87730.

LCM(87727,87730) = 2¹×5¹×31¹×37¹×283¹×2371¹
LCM(87727,87730) = 7696289710

Factors of 87727

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

1, 37, 2371, 87727

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87727 and 87730, than apply into the LCM equation.

GCF(87727,87730) = 1
LCM(87727,87730) = ( 87727 × 87730) / 1
LCM(87727,87730) = 7696289710 / 1
LCM(87727,87730) = 7696289710

(i) The LCM of 87730 and 87727 is associative

LCM of 87727 and 87730 = LCM of 87730 and 87727

1. What is the LCM of 87727 and 87730?

Answer: LCM of 87727 and 87730 is 7696289710.

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 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.

4. How to Find the LCM of 87727 and 87730?

Answer:

Least Common Multiple of 87727 and 87730 = 7696289710

Step 1: Find the prime factorization of 87727

87727 = 37 x 2371

Step 2: Find the prime factorization of 87730

87730 = 2 x 5 x 31 x 283

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

LCM = 7696289710 = 2 x 5 x 31 x 37 x 283 x 2371

Step 4: Therefore, the least common multiple of 87727 and 87730 is 7696289710.