Least Common Multiple of 8614 and 8618

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 8618 the smallest integer that is 37117726 that is divisible by both numbers.

Least Common Multiple (LCM) of 8614 and 8618 is 37117726.

LCM(8614,8618) = 37117726

LCM of 8614 and 8618

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

LCM of:
and

Least Common Multiple of 8614 and 8618

LCM of 8614 and 8618 is 37117726

Least common multiple can be found by multiplying the highest exponent prime factors of 8614 and 8618. First we will calculate the prime factors of 8614 and 8618.

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 8618


2 8618
31 4309
139 139
1

Prime factors of 8618 are 2, 31,139. Prime factorization of 8618 in exponential form is:

8618 = 21×311×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 8614 and 8618.

LCM(8614,8618) = 21×311×591×731×1391
LCM(8614,8618) = 37117726

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 8618

List of positive integer factors of 8618 that divides 8618 without a remainder.

1, 2, 31, 62, 139, 278, 4309, 8618

Least Common Multiple of 8614 and 8618 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 8618, than apply into the LCM equation.

GCF(8614,8618) = 2
LCM(8614,8618) = ( 8614 × 8618) / 2
LCM(8614,8618) = 74235452 / 2
LCM(8614,8618) = 37117726

Properties of LCM 8614 and 8618

(i) The LCM of 8618 and 8614 is associative

LCM of 8614 and 8618 = LCM of 8618 and 8614

Related Least Common Multiples of 8614

Related Least Common Multiples of 8618

Frequently Asked Questions on LCM of 8614 and 8618

1. What is the LCM of 8614 and 8618?

Answer: LCM of 8614 and 8618 is 37117726.

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 8618?

Answer: Factors of 8618 are 1, 2, 31, 62, 139, 278, 4309, 8618. There are 8 integers that are factors of 8618. The greatest factor of 8618 is 8618.

4. How to Find the LCM of 8614 and 8618?

Answer:

Least Common Multiple of 8614 and 8618 = 37117726

Step 1: Find the prime factorization of 8614

8614 = 2 x 59 x 73

Step 2: Find the prime factorization of 8618

8618 = 2 x 31 x 139

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

LCM = 37117726 = 2 x 31 x 59 x 73 x 139

Step 4: Therefore, the least common multiple of 8614 and 8618 is 37117726.