Least Common Multiple of 8618 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 8618 and 8622 the smallest integer that is 37152198 that is divisible by both numbers.

Least Common Multiple (LCM) of 8618 and 8622 is 37152198.

LCM(8618,8622) = 37152198

LCM of 8618 and 8622

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

LCM of:
and

Least Common Multiple of 8618 and 8622

LCM of 8618 and 8622 is 37152198

Least common multiple can be found by multiplying the highest exponent prime factors of 8618 and 8622. First we will calculate the prime factors of 8618 and 8622.

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

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 8618 and 8622.

LCM(8618,8622) = 21×32×311×1391×4791
LCM(8618,8622) = 37152198

Factors of 8618

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

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

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 8618 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 8618 and 8622, than apply into the LCM equation.

GCF(8618,8622) = 2
LCM(8618,8622) = ( 8618 × 8622) / 2
LCM(8618,8622) = 74304396 / 2
LCM(8618,8622) = 37152198

Properties of LCM 8618 and 8622

(i) The LCM of 8622 and 8618 is associative

LCM of 8618 and 8622 = LCM of 8622 and 8618

Related Least Common Multiples of 8618

Related Least Common Multiples of 8622

Frequently Asked Questions on LCM of 8618 and 8622

1. What is the LCM of 8618 and 8622?

Answer: LCM of 8618 and 8622 is 37152198.

2. 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.

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 8618 and 8622?

Answer:

Least Common Multiple of 8618 and 8622 = 37152198

Step 1: Find the prime factorization of 8618

8618 = 2 x 31 x 139

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 = 37152198 = 2 x 3 x 3 x 31 x 139 x 479

Step 4: Therefore, the least common multiple of 8618 and 8622 is 37152198.