Least Common Multiple of 8612 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 8612 and 8618 the smallest integer that is 37109108 that is divisible by both numbers.

Least Common Multiple (LCM) of 8612 and 8618 is 37109108.

LCM(8612,8618) = 37109108

LCM of 8612 and 8618

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

LCM of:
and

Least Common Multiple of 8612 and 8618

LCM of 8612 and 8618 is 37109108

Least common multiple can be found by multiplying the highest exponent prime factors of 8612 and 8618. First we will calculate the prime factors of 8612 and 8618.

Prime Factorization of 8612


2 8612
2 4306
2153 2153
1

Prime factors of 8612 are 2,2153. Prime factorization of 8612 in exponential form is:

8612 = 22×21531

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 8612 and 8618.

LCM(8612,8618) = 22×311×1391×21531
LCM(8612,8618) = 37109108

Factors of 8612

List of positive integer factors of 8612 that divides 8612 without a remainder.

1, 2, 4, 2153, 4306, 8612

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 8612 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 8612 and 8618, than apply into the LCM equation.

GCF(8612,8618) = 2
LCM(8612,8618) = ( 8612 × 8618) / 2
LCM(8612,8618) = 74218216 / 2
LCM(8612,8618) = 37109108

Properties of LCM 8612 and 8618

(i) The LCM of 8618 and 8612 is associative

LCM of 8612 and 8618 = LCM of 8618 and 8612

Related Least Common Multiples of 8612

Related Least Common Multiples of 8618

Frequently Asked Questions on LCM of 8612 and 8618

1. What is the LCM of 8612 and 8618?

Answer: LCM of 8612 and 8618 is 37109108.

2. What are the Factors of 8612?

Answer: Factors of 8612 are 1, 2, 4, 2153, 4306, 8612. There are 6 integers that are factors of 8612. The greatest factor of 8612 is 8612.

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 8612 and 8618?

Answer:

Least Common Multiple of 8612 and 8618 = 37109108

Step 1: Find the prime factorization of 8612

8612 = 2 x 2 x 2153

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 = 37109108 = 2 x 2 x 31 x 139 x 2153

Step 4: Therefore, the least common multiple of 8612 and 8618 is 37109108.