Least Common Multiple of 618 and 621

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 621 the smallest integer that is 127926 that is divisible by both numbers.

Least Common Multiple (LCM) of 618 and 621 is 127926.

LCM(618,621) = 127926

LCM of 618 and 621

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

LCM of:
and

Least Common Multiple of 618 and 621

LCM of 618 and 621 is 127926

Least common multiple can be found by multiplying the highest exponent prime factors of 618 and 621. First we will calculate the prime factors of 618 and 621.

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 621


3 621
3 207
3 69
23 23
1

Prime factors of 621 are 3,23. Prime factorization of 621 in exponential form is:

621 = 33×231

Now multiplying the highest exponent prime factors to calculate the LCM of 618 and 621.

LCM(618,621) = 21×33×231×1031
LCM(618,621) = 127926

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 621

List of positive integer factors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Least Common Multiple of 618 and 621 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 621, than apply into the LCM equation.

GCF(618,621) = 3
LCM(618,621) = ( 618 × 621) / 3
LCM(618,621) = 383778 / 3
LCM(618,621) = 127926

Properties of LCM 618 and 621

(i) The LCM of 621 and 618 is associative

LCM of 618 and 621 = LCM of 621 and 618

Related Least Common Multiples of 618

Related Least Common Multiples of 621

Frequently Asked Questions on LCM of 618 and 621

1. What is the LCM of 618 and 621?

Answer: LCM of 618 and 621 is 127926.

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 621?

Answer: Factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621. There are 8 integers that are factors of 621. The greatest factor of 621 is 621.

4. How to Find the LCM of 618 and 621?

Answer:

Least Common Multiple of 618 and 621 = 127926

Step 1: Find the prime factorization of 618

618 = 2 x 3 x 103

Step 2: Find the prime factorization of 621

621 = 3 x 3 x 3 x 23

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

LCM = 127926 = 2 x 3 x 3 x 3 x 23 x 103

Step 4: Therefore, the least common multiple of 618 and 621 is 127926.