Least Common Multiple of 8614 and 8622

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 8622 the smallest integer that is 37134954 that is divisible by both numbers.

Least Common Multiple (LCM) of 8614 and 8622 is 37134954.

LCM(8614,8622) = 37134954

LCM of 8614 and 8622

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

LCM of:
and

Least Common Multiple of 8614 and 8622

LCM of 8614 and 8622 is 37134954

Least common multiple can be found by multiplying the highest exponent prime factors of 8614 and 8622. First we will calculate the prime factors of 8614 and 8622.

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 8622


2 8622
3 4311
3 1437
479 479
1

Prime factors of 8622 are 2, 3,479. Prime factorization of 8622 in exponential form is:

8622 = 21×32×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 8614 and 8622.

LCM(8614,8622) = 21×32×591×731×4791
LCM(8614,8622) = 37134954

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 8622

List of positive integer factors of 8622 that divides 8622 without a remainder.

1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622

Least Common Multiple of 8614 and 8622 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 8622, than apply into the LCM equation.

GCF(8614,8622) = 2
LCM(8614,8622) = ( 8614 × 8622) / 2
LCM(8614,8622) = 74269908 / 2
LCM(8614,8622) = 37134954

Properties of LCM 8614 and 8622

(i) The LCM of 8622 and 8614 is associative

LCM of 8614 and 8622 = LCM of 8622 and 8614

Related Least Common Multiples of 8614

Related Least Common Multiples of 8622

Frequently Asked Questions on LCM of 8614 and 8622

1. What is the LCM of 8614 and 8622?

Answer: LCM of 8614 and 8622 is 37134954.

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 8622?

Answer: Factors of 8622 are 1, 2, 3, 6, 9, 18, 479, 958, 1437, 2874, 4311, 8622. There are 12 integers that are factors of 8622. The greatest factor of 8622 is 8622.

4. How to Find the LCM of 8614 and 8622?

Answer:

Least Common Multiple of 8614 and 8622 = 37134954

Step 1: Find the prime factorization of 8614

8614 = 2 x 59 x 73

Step 2: Find the prime factorization of 8622

8622 = 2 x 3 x 3 x 479

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

LCM = 37134954 = 2 x 3 x 3 x 59 x 73 x 479

Step 4: Therefore, the least common multiple of 8614 and 8622 is 37134954.