Least Common Multiple of 622 and 630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 622 and 630 the smallest integer that is 195930 that is divisible by both numbers.

Least Common Multiple (LCM) of 622 and 630 is 195930.

LCM(622,630) = 195930

LCM of 622 and 630

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

LCM of:
and

Least Common Multiple of 622 and 630

LCM of 622 and 630 is 195930

Least common multiple can be found by multiplying the highest exponent prime factors of 622 and 630. First we will calculate the prime factors of 622 and 630.

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

Prime Factorization of 630


2 630
3 315
3 105
5 35
7 7
1

Prime factors of 630 are 2, 3, 5,7. Prime factorization of 630 in exponential form is:

630 = 21×32×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 622 and 630.

LCM(622,630) = 21×32×51×71×3111
LCM(622,630) = 195930

Factors of 622

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

1, 2, 311, 622

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Least Common Multiple of 622 and 630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 622 and 630, than apply into the LCM equation.

GCF(622,630) = 2
LCM(622,630) = ( 622 × 630) / 2
LCM(622,630) = 391860 / 2
LCM(622,630) = 195930

Properties of LCM 622 and 630

(i) The LCM of 630 and 622 is associative

LCM of 622 and 630 = LCM of 630 and 622

Related Least Common Multiples of 622

Related Least Common Multiples of 630

Frequently Asked Questions on LCM of 622 and 630

1. What is the LCM of 622 and 630?

Answer: LCM of 622 and 630 is 195930.

2. 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.

3. What are the Factors of 630?

Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.

4. How to Find the LCM of 622 and 630?

Answer:

Least Common Multiple of 622 and 630 = 195930

Step 1: Find the prime factorization of 622

622 = 2 x 311

Step 2: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

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

LCM = 195930 = 2 x 3 x 3 x 5 x 7 x 311

Step 4: Therefore, the least common multiple of 622 and 630 is 195930.