Least Common Multiple of 618 and 619

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 619 the smallest integer that is 382542 that is divisible by both numbers.

Least Common Multiple (LCM) of 618 and 619 is 382542.

LCM(618,619) = 382542

LCM of 618 and 619

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

LCM of:
and

Least Common Multiple of 618 and 619

LCM of 618 and 619 is 382542

Least common multiple can be found by multiplying the highest exponent prime factors of 618 and 619. First we will calculate the prime factors of 618 and 619.

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 619


619 619
1

Prime factors of 619 are 619. Prime factorization of 619 in exponential form is:

619 = 6191

Now multiplying the highest exponent prime factors to calculate the LCM of 618 and 619.

LCM(618,619) = 21×31×1031×6191
LCM(618,619) = 382542

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 619

List of positive integer factors of 619 that divides 619 without a remainder.

1, 619

Least Common Multiple of 618 and 619 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 619, than apply into the LCM equation.

GCF(618,619) = 1
LCM(618,619) = ( 618 × 619) / 1
LCM(618,619) = 382542 / 1
LCM(618,619) = 382542

Properties of LCM 618 and 619

(i) The LCM of 619 and 618 is associative

LCM of 618 and 619 = LCM of 619 and 618

Related Least Common Multiples of 618

Related Least Common Multiples of 619

Frequently Asked Questions on LCM of 618 and 619

1. What is the LCM of 618 and 619?

Answer: LCM of 618 and 619 is 382542.

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 619?

Answer: Factors of 619 are 1, 619. There are 2 integers that are factors of 619. The greatest factor of 619 is 619.

4. How to Find the LCM of 618 and 619?

Answer:

Least Common Multiple of 618 and 619 = 382542

Step 1: Find the prime factorization of 618

618 = 2 x 3 x 103

Step 2: Find the prime factorization of 619

619 = 619

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

LCM = 382542 = 2 x 3 x 103 x 619

Step 4: Therefore, the least common multiple of 618 and 619 is 382542.