Least Common Multiple of 8501 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 8501 and 8509 the smallest integer that is 72335009 that is divisible by both numbers.

Least Common Multiple (LCM) of 8501 and 8509 is 72335009.

LCM(8501,8509) = 72335009

LCM of 8501 and 8509

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

LCM of:
and

Least Common Multiple of 8501 and 8509

LCM of 8501 and 8509 is 72335009

Least common multiple can be found by multiplying the highest exponent prime factors of 8501 and 8509. First we will calculate the prime factors of 8501 and 8509.

Prime Factorization of 8501


8501 8501
1

Prime factors of 8501 are 8501. Prime factorization of 8501 in exponential form is:

8501 = 85011

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 8501 and 8509.

LCM(8501,8509) = 671×1271×85011
LCM(8501,8509) = 72335009

Factors of 8501

List of positive integer factors of 8501 that divides 8501 without a remainder.

1, 8501

Factors of 8509

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

1, 67, 127, 8509

Least Common Multiple of 8501 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 8501 and 8509, than apply into the LCM equation.

GCF(8501,8509) = 1
LCM(8501,8509) = ( 8501 × 8509) / 1
LCM(8501,8509) = 72335009 / 1
LCM(8501,8509) = 72335009

Properties of LCM 8501 and 8509

(i) The LCM of 8509 and 8501 is associative

LCM of 8501 and 8509 = LCM of 8509 and 8501

Related Least Common Multiples of 8501

Related Least Common Multiples of 8509

Frequently Asked Questions on LCM of 8501 and 8509

1. What is the LCM of 8501 and 8509?

Answer: LCM of 8501 and 8509 is 72335009.

2. What are the Factors of 8501?

Answer: Factors of 8501 are 1, 8501. There are 2 integers that are factors of 8501. The greatest factor of 8501 is 8501.

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 8501 and 8509?

Answer:

Least Common Multiple of 8501 and 8509 = 72335009

Step 1: Find the prime factorization of 8501

8501 = 8501

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 = 72335009 = 67 x 127 x 8501

Step 4: Therefore, the least common multiple of 8501 and 8509 is 72335009.