Least Common Multiple of 8614 and 8619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8614 and 8619 the smallest integer that is 74244066 that is divisible by both numbers.

Least Common Multiple (LCM) of 8614 and 8619 is 74244066.

LCM(8614,8619) = 74244066

LCM of 8614 and 8619

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

LCM of:
and

Least Common Multiple of 8614 and 8619

LCM of 8614 and 8619 is 74244066

Least common multiple can be found by multiplying the highest exponent prime factors of 8614 and 8619. First we will calculate the prime factors of 8614 and 8619.

Prime Factorization of 8614


2 8614
59 4307
73 73
1

Prime factors of 8614 are 2, 59,73. Prime factorization of 8614 in exponential form is:

8614 = 21×591×731

Prime Factorization of 8619


3 8619
13 2873
13 221
17 17
1

Prime factors of 8619 are 3, 13,17. Prime factorization of 8619 in exponential form is:

8619 = 31×132×171

Now multiplying the highest exponent prime factors to calculate the LCM of 8614 and 8619.

LCM(8614,8619) = 21×31×132×171×591×731
LCM(8614,8619) = 74244066

Factors of 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1, 2, 59, 73, 118, 146, 4307, 8614

Factors of 8619

List of positive integer factors of 8619 that divides 8619 without a remainder.

1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619

Least Common Multiple of 8614 and 8619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8614 and 8619, than apply into the LCM equation.

GCF(8614,8619) = 1
LCM(8614,8619) = ( 8614 × 8619) / 1
LCM(8614,8619) = 74244066 / 1
LCM(8614,8619) = 74244066

Properties of LCM 8614 and 8619

(i) The LCM of 8619 and 8614 is associative

LCM of 8614 and 8619 = LCM of 8619 and 8614

Related Least Common Multiples of 8614

Related Least Common Multiples of 8619

Frequently Asked Questions on LCM of 8614 and 8619

1. What is the LCM of 8614 and 8619?

Answer: LCM of 8614 and 8619 is 74244066.

2. What are the Factors of 8614?

Answer: Factors of 8614 are 1, 2, 59, 73, 118, 146, 4307, 8614. There are 8 integers that are factors of 8614. The greatest factor of 8614 is 8614.

3. What are the Factors of 8619?

Answer: Factors of 8619 are 1, 3, 13, 17, 39, 51, 169, 221, 507, 663, 2873, 8619. There are 12 integers that are factors of 8619. The greatest factor of 8619 is 8619.

4. How to Find the LCM of 8614 and 8619?

Answer:

Least Common Multiple of 8614 and 8619 = 74244066

Step 1: Find the prime factorization of 8614

8614 = 2 x 59 x 73

Step 2: Find the prime factorization of 8619

8619 = 3 x 13 x 13 x 17

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

LCM = 74244066 = 2 x 3 x 13 x 13 x 17 x 59 x 73

Step 4: Therefore, the least common multiple of 8614 and 8619 is 74244066.