Least Common Multiple of 618 and 620

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 620 the smallest integer that is 191580 that is divisible by both numbers.

Least Common Multiple (LCM) of 618 and 620 is 191580.

LCM(618,620) = 191580

LCM of 618 and 620

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

LCM of:
and

Least Common Multiple of 618 and 620

LCM of 618 and 620 is 191580

Least common multiple can be found by multiplying the highest exponent prime factors of 618 and 620. First we will calculate the prime factors of 618 and 620.

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 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2, 5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 618 and 620.

LCM(618,620) = 22×31×51×311×1031
LCM(618,620) = 191580

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 620

List of positive integer factors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Least Common Multiple of 618 and 620 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 620, than apply into the LCM equation.

GCF(618,620) = 2
LCM(618,620) = ( 618 × 620) / 2
LCM(618,620) = 383160 / 2
LCM(618,620) = 191580

Properties of LCM 618 and 620

(i) The LCM of 620 and 618 is associative

LCM of 618 and 620 = LCM of 620 and 618

Related Least Common Multiples of 618

Related Least Common Multiples of 620

Frequently Asked Questions on LCM of 618 and 620

1. What is the LCM of 618 and 620?

Answer: LCM of 618 and 620 is 191580.

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 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

4. How to Find the LCM of 618 and 620?

Answer:

Least Common Multiple of 618 and 620 = 191580

Step 1: Find the prime factorization of 618

618 = 2 x 3 x 103

Step 2: Find the prime factorization of 620

620 = 2 x 2 x 5 x 31

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

LCM = 191580 = 2 x 2 x 3 x 5 x 31 x 103

Step 4: Therefore, the least common multiple of 618 and 620 is 191580.