Least Common Multiple of 8609 and 8614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8609 and 8614 the smallest integer that is 74157926 that is divisible by both numbers.

Least Common Multiple (LCM) of 8609 and 8614 is 74157926.

LCM(8609,8614) = 74157926

LCM of 8609 and 8614

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

LCM of:
and

Least Common Multiple of 8609 and 8614

LCM of 8609 and 8614 is 74157926

Least common multiple can be found by multiplying the highest exponent prime factors of 8609 and 8614. First we will calculate the prime factors of 8609 and 8614.

Prime Factorization of 8609


8609 8609
1

Prime factors of 8609 are 8609. Prime factorization of 8609 in exponential form is:

8609 = 86091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8609 and 8614.

LCM(8609,8614) = 21×591×731×86091
LCM(8609,8614) = 74157926

Factors of 8609

List of positive integer factors of 8609 that divides 8609 without a remainder.

1, 8609

Factors of 8614

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

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

Least Common Multiple of 8609 and 8614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8609 and 8614, than apply into the LCM equation.

GCF(8609,8614) = 1
LCM(8609,8614) = ( 8609 × 8614) / 1
LCM(8609,8614) = 74157926 / 1
LCM(8609,8614) = 74157926

Properties of LCM 8609 and 8614

(i) The LCM of 8614 and 8609 is associative

LCM of 8609 and 8614 = LCM of 8614 and 8609

Related Least Common Multiples of 8609

Related Least Common Multiples of 8614

Frequently Asked Questions on LCM of 8609 and 8614

1. What is the LCM of 8609 and 8614?

Answer: LCM of 8609 and 8614 is 74157926.

2. What are the Factors of 8609?

Answer: Factors of 8609 are 1, 8609. There are 2 integers that are factors of 8609. The greatest factor of 8609 is 8609.

3. 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.

4. How to Find the LCM of 8609 and 8614?

Answer:

Least Common Multiple of 8609 and 8614 = 74157926

Step 1: Find the prime factorization of 8609

8609 = 8609

Step 2: Find the prime factorization of 8614

8614 = 2 x 59 x 73

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

LCM = 74157926 = 2 x 59 x 73 x 8609

Step 4: Therefore, the least common multiple of 8609 and 8614 is 74157926.