Least Common Multiple of 88513 and 88518

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

• Least Common Multiple of 88513 and 88518 by Prime method
• Least Common Multiple of 88513 and 88518 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 88513 and 88518. First we will calculate the prime factors of 88513 and 88518.

Prime Factorization of 88513

Prime factors of 88513 are 88513. Prime factorization of 88513 in exponential form is:

88513 = 88513¹

Prime Factorization of 88518

Prime factors of 88518 are 2, 3,14753. Prime factorization of 88518 in exponential form is:

88518 = 2¹×3¹×14753¹

Now multiplying the highest exponent prime factors to calculate the LCM of 88513 and 88518.

LCM(88513,88518) = 2¹×3¹×14753¹×88513¹
LCM(88513,88518) = 7834993734

Factors of 88513

List of positive integer factors of 88513 that divides 88513 without a remainder.

1, 88513

Factors of 88518

List of positive integer factors of 88518 that divides 88518 without a remainder.

1, 2, 3, 6, 14753, 29506, 44259, 88518

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88513 and 88518, than apply into the LCM equation.

GCF(88513,88518) = 1
LCM(88513,88518) = ( 88513 × 88518) / 1
LCM(88513,88518) = 7834993734 / 1
LCM(88513,88518) = 7834993734

(i) The LCM of 88518 and 88513 is associative

LCM of 88513 and 88518 = LCM of 88518 and 88513

1. What is the LCM of 88513 and 88518?

Answer: LCM of 88513 and 88518 is 7834993734.

2. What are the Factors of 88513?

Answer: Factors of 88513 are 1, 88513. There are 2 integers that are factors of 88513. The greatest factor of 88513 is 88513.

3. What are the Factors of 88518?

Answer: Factors of 88518 are 1, 2, 3, 6, 14753, 29506, 44259, 88518. There are 8 integers that are factors of 88518. The greatest factor of 88518 is 88518.

4. How to Find the LCM of 88513 and 88518?

Answer:

Least Common Multiple of 88513 and 88518 = 7834993734

Step 1: Find the prime factorization of 88513

88513 = 88513

Step 2: Find the prime factorization of 88518

88518 = 2 x 3 x 14753

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

LCM = 7834993734 = 2 x 3 x 14753 x 88513

Step 4: Therefore, the least common multiple of 88513 and 88518 is 7834993734.