Least Common Multiple of 623 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 623 and 630 the smallest integer that is 56070 that is divisible by both numbers.

Least Common Multiple (LCM) of 623 and 630 is 56070.

LCM(623,630) = 56070

LCM of 623 and 630

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

LCM of:
and

Least Common Multiple of 623 and 630

LCM of 623 and 630 is 56070

Least common multiple can be found by multiplying the highest exponent prime factors of 623 and 630. First we will calculate the prime factors of 623 and 630.

Prime Factorization of 623


7 623
89 89
1

Prime factors of 623 are 7,89. Prime factorization of 623 in exponential form is:

623 = 71×891

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 623 and 630.

LCM(623,630) = 21×32×51×71×891
LCM(623,630) = 56070

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1, 7, 89, 623

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 623 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 623 and 630, than apply into the LCM equation.

GCF(623,630) = 7
LCM(623,630) = ( 623 × 630) / 7
LCM(623,630) = 392490 / 7
LCM(623,630) = 56070

Properties of LCM 623 and 630

(i) The LCM of 630 and 623 is associative

LCM of 623 and 630 = LCM of 630 and 623

Related Least Common Multiples of 623

Related Least Common Multiples of 630

Frequently Asked Questions on LCM of 623 and 630

1. What is the LCM of 623 and 630?

Answer: LCM of 623 and 630 is 56070.

2. What are the Factors of 623?

Answer: Factors of 623 are 1, 7, 89, 623. There are 4 integers that are factors of 623. The greatest factor of 623 is 623.

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 623 and 630?

Answer:

Least Common Multiple of 623 and 630 = 56070

Step 1: Find the prime factorization of 623

623 = 7 x 89

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 = 56070 = 2 x 3 x 3 x 5 x 7 x 89

Step 4: Therefore, the least common multiple of 623 and 630 is 56070.