Least Common Multiple of 618 and 622

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 622 the smallest integer that is 192198 that is divisible by both numbers.

Least Common Multiple (LCM) of 618 and 622 is 192198.

LCM(618,622) = 192198

LCM of 618 and 622

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

LCM of:
and

Least Common Multiple of 618 and 622

LCM of 618 and 622 is 192198

Least common multiple can be found by multiplying the highest exponent prime factors of 618 and 622. First we will calculate the prime factors of 618 and 622.

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 622


2 622
311 311
1

Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:

622 = 21×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 618 and 622.

LCM(618,622) = 21×31×1031×3111
LCM(618,622) = 192198

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 622

List of positive integer factors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Least Common Multiple of 618 and 622 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 622, than apply into the LCM equation.

GCF(618,622) = 2
LCM(618,622) = ( 618 × 622) / 2
LCM(618,622) = 384396 / 2
LCM(618,622) = 192198

Properties of LCM 618 and 622

(i) The LCM of 622 and 618 is associative

LCM of 618 and 622 = LCM of 622 and 618

Frequently Asked Questions on LCM of 618 and 622

1. What is the LCM of 618 and 622?

Answer: LCM of 618 and 622 is 192198.

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 622?

Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.

4. How to Find the LCM of 618 and 622?

Answer:

Least Common Multiple of 618 and 622 = 192198

Step 1: Find the prime factorization of 618

618 = 2 x 3 x 103

Step 2: Find the prime factorization of 622

622 = 2 x 311

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

LCM = 192198 = 2 x 3 x 103 x 311

Step 4: Therefore, the least common multiple of 618 and 622 is 192198.