Least Common Multiple of 616 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 616 and 618 the smallest integer that is 190344 that is divisible by both numbers.

Least Common Multiple (LCM) of 616 and 618 is 190344.

LCM(616,618) = 190344

LCM of 616 and 618

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

LCM of:
and

Least Common Multiple of 616 and 618

LCM of 616 and 618 is 190344

Least common multiple can be found by multiplying the highest exponent prime factors of 616 and 618. First we will calculate the prime factors of 616 and 618.

Prime Factorization of 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

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 616 and 618.

LCM(616,618) = 23×31×71×111×1031
LCM(616,618) = 190344

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 616 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 616 and 618, than apply into the LCM equation.

GCF(616,618) = 2
LCM(616,618) = ( 616 × 618) / 2
LCM(616,618) = 380688 / 2
LCM(616,618) = 190344

Properties of LCM 616 and 618

(i) The LCM of 618 and 616 is associative

LCM of 616 and 618 = LCM of 618 and 616

Related Least Common Multiples of 616

Related Least Common Multiples of 618

Frequently Asked Questions on LCM of 616 and 618

1. What is the LCM of 616 and 618?

Answer: LCM of 616 and 618 is 190344.

2. What are the Factors of 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

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 616 and 618?

Answer:

Least Common Multiple of 616 and 618 = 190344

Step 1: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

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 = 190344 = 2 x 2 x 2 x 3 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 616 and 618 is 190344.