Least Common Multiple of 618 and 624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 618 and 624 the smallest integer that is 64272 that is divisible by both numbers.

Least Common Multiple (LCM) of 618 and 624 is 64272.

LCM(618,624) = 64272

LCM of 618 and 624

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

LCM of:
and

Least Common Multiple of 618 and 624

LCM of 618 and 624 is 64272

Least common multiple can be found by multiplying the highest exponent prime factors of 618 and 624. First we will calculate the prime factors of 618 and 624.

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

Prime Factorization of 624


2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 624 are 2, 3,13. Prime factorization of 624 in exponential form is:

624 = 24×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 618 and 624.

LCM(618,624) = 24×31×131×1031
LCM(618,624) = 64272

Factors of 618

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

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

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Least Common Multiple of 618 and 624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 618 and 624, than apply into the LCM equation.

GCF(618,624) = 6
LCM(618,624) = ( 618 × 624) / 6
LCM(618,624) = 385632 / 6
LCM(618,624) = 64272

Properties of LCM 618 and 624

(i) The LCM of 624 and 618 is associative

LCM of 618 and 624 = LCM of 624 and 618

Related Least Common Multiples of 618

Related Least Common Multiples of 624

Frequently Asked Questions on LCM of 618 and 624

1. What is the LCM of 618 and 624?

Answer: LCM of 618 and 624 is 64272.

2. 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.

3. What are the Factors of 624?

Answer: Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624. There are 20 integers that are factors of 624. The greatest factor of 624 is 624.

4. How to Find the LCM of 618 and 624?

Answer:

Least Common Multiple of 618 and 624 = 64272

Step 1: Find the prime factorization of 618

618 = 2 x 3 x 103

Step 2: Find the prime factorization of 624

624 = 2 x 2 x 2 x 2 x 3 x 13

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

LCM = 64272 = 2 x 2 x 2 x 2 x 3 x 13 x 103

Step 4: Therefore, the least common multiple of 618 and 624 is 64272.