Least Common Multiple of 612 and 618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 612 and 618 the smallest integer that is 63036 that is divisible by both numbers.

Least Common Multiple (LCM) of 612 and 618 is 63036.

LCM(612,618) = 63036

LCM of 612 and 618

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

LCM of:
and

Least Common Multiple of 612 and 618

LCM of 612 and 618 is 63036

Least common multiple can be found by multiplying the highest exponent prime factors of 612 and 618. First we will calculate the prime factors of 612 and 618.

Prime Factorization of 612


2 612
2 306
3 153
3 51
17 17
1

Prime factors of 612 are 2, 3,17. Prime factorization of 612 in exponential form is:

612 = 22×32×171

Prime Factorization of 618


2 618
3 309
103 103
1

Prime factors of 618 are 2, 3,103. Prime factorization of 618 in exponential form is:

618 = 21×31×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 612 and 618.

LCM(612,618) = 22×32×171×1031
LCM(612,618) = 63036

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Least Common Multiple of 612 and 618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 612 and 618, than apply into the LCM equation.

GCF(612,618) = 6
LCM(612,618) = ( 612 × 618) / 6
LCM(612,618) = 378216 / 6
LCM(612,618) = 63036

Properties of LCM 612 and 618

(i) The LCM of 618 and 612 is associative

LCM of 612 and 618 = LCM of 618 and 612

Related Least Common Multiples of 612

Related Least Common Multiples of 618

Frequently Asked Questions on LCM of 612 and 618

1. What is the LCM of 612 and 618?

Answer: LCM of 612 and 618 is 63036.

2. What are the Factors of 612?

Answer: Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. There are 18 integers that are factors of 612. The greatest factor of 612 is 612.

3. What are the Factors of 618?

Answer: Factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618. There are 8 integers that are factors of 618. The greatest factor of 618 is 618.

4. How to Find the LCM of 612 and 618?

Answer:

Least Common Multiple of 612 and 618 = 63036

Step 1: Find the prime factorization of 612

612 = 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 618

618 = 2 x 3 x 103

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

LCM = 63036 = 2 x 2 x 3 x 3 x 17 x 103

Step 4: Therefore, the least common multiple of 612 and 618 is 63036.