Least Common Multiple of 8494 and 8501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8494 and 8501 the smallest integer that is 72207494 that is divisible by both numbers.

Least Common Multiple (LCM) of 8494 and 8501 is 72207494.

LCM(8494,8501) = 72207494

LCM of 8494 and 8501

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

LCM of:
and

Least Common Multiple of 8494 and 8501

LCM of 8494 and 8501 is 72207494

Least common multiple can be found by multiplying the highest exponent prime factors of 8494 and 8501. First we will calculate the prime factors of 8494 and 8501.

Prime Factorization of 8494


2 8494
31 4247
137 137
1

Prime factors of 8494 are 2, 31,137. Prime factorization of 8494 in exponential form is:

8494 = 21×311×1371

Prime Factorization of 8501


8501 8501
1

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

8501 = 85011

Now multiplying the highest exponent prime factors to calculate the LCM of 8494 and 8501.

LCM(8494,8501) = 21×311×1371×85011
LCM(8494,8501) = 72207494

Factors of 8494

List of positive integer factors of 8494 that divides 8494 without a remainder.

1, 2, 31, 62, 137, 274, 4247, 8494

Factors of 8501

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

1, 8501

Least Common Multiple of 8494 and 8501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8494 and 8501, than apply into the LCM equation.

GCF(8494,8501) = 1
LCM(8494,8501) = ( 8494 × 8501) / 1
LCM(8494,8501) = 72207494 / 1
LCM(8494,8501) = 72207494

Properties of LCM 8494 and 8501

(i) The LCM of 8501 and 8494 is associative

LCM of 8494 and 8501 = LCM of 8501 and 8494

Related Least Common Multiples of 8494

Related Least Common Multiples of 8501

Frequently Asked Questions on LCM of 8494 and 8501

1. What is the LCM of 8494 and 8501?

Answer: LCM of 8494 and 8501 is 72207494.

2. What are the Factors of 8494?

Answer: Factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494. There are 8 integers that are factors of 8494. The greatest factor of 8494 is 8494.

3. 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.

4. How to Find the LCM of 8494 and 8501?

Answer:

Least Common Multiple of 8494 and 8501 = 72207494

Step 1: Find the prime factorization of 8494

8494 = 2 x 31 x 137

Step 2: Find the prime factorization of 8501

8501 = 8501

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

LCM = 72207494 = 2 x 31 x 137 x 8501

Step 4: Therefore, the least common multiple of 8494 and 8501 is 72207494.