Least Common Multiple of 8507 and 8509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8507 and 8509 the smallest integer that is 72386063 that is divisible by both numbers.

Least Common Multiple (LCM) of 8507 and 8509 is 72386063.

LCM(8507,8509) = 72386063

LCM of 8507 and 8509

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

LCM of:
and

Least Common Multiple of 8507 and 8509

LCM of 8507 and 8509 is 72386063

Least common multiple can be found by multiplying the highest exponent prime factors of 8507 and 8509. First we will calculate the prime factors of 8507 and 8509.

Prime Factorization of 8507


47 8507
181 181
1

Prime factors of 8507 are 47,181. Prime factorization of 8507 in exponential form is:

8507 = 471×1811

Prime Factorization of 8509


67 8509
127 127
1

Prime factors of 8509 are 67,127. Prime factorization of 8509 in exponential form is:

8509 = 671×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8507 and 8509.

LCM(8507,8509) = 471×671×1271×1811
LCM(8507,8509) = 72386063

Factors of 8507

List of positive integer factors of 8507 that divides 8507 without a remainder.

1, 47, 181, 8507

Factors of 8509

List of positive integer factors of 8509 that divides 8509 without a remainder.

1, 67, 127, 8509

Least Common Multiple of 8507 and 8509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8507 and 8509, than apply into the LCM equation.

GCF(8507,8509) = 1
LCM(8507,8509) = ( 8507 × 8509) / 1
LCM(8507,8509) = 72386063 / 1
LCM(8507,8509) = 72386063

Properties of LCM 8507 and 8509

(i) The LCM of 8509 and 8507 is associative

LCM of 8507 and 8509 = LCM of 8509 and 8507

Related Least Common Multiples of 8507

Related Least Common Multiples of 8509

Frequently Asked Questions on LCM of 8507 and 8509

1. What is the LCM of 8507 and 8509?

Answer: LCM of 8507 and 8509 is 72386063.

2. What are the Factors of 8507?

Answer: Factors of 8507 are 1, 47, 181, 8507. There are 4 integers that are factors of 8507. The greatest factor of 8507 is 8507.

3. What are the Factors of 8509?

Answer: Factors of 8509 are 1, 67, 127, 8509. There are 4 integers that are factors of 8509. The greatest factor of 8509 is 8509.

4. How to Find the LCM of 8507 and 8509?

Answer:

Least Common Multiple of 8507 and 8509 = 72386063

Step 1: Find the prime factorization of 8507

8507 = 47 x 181

Step 2: Find the prime factorization of 8509

8509 = 67 x 127

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

LCM = 72386063 = 47 x 67 x 127 x 181

Step 4: Therefore, the least common multiple of 8507 and 8509 is 72386063.