Least Common Multiple of 623 and 631

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 631 the smallest integer that is 393113 that is divisible by both numbers.

Least Common Multiple (LCM) of 623 and 631 is 393113.

LCM(623,631) = 393113

LCM of 623 and 631

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

LCM of:
and

Least Common Multiple of 623 and 631

LCM of 623 and 631 is 393113

Least common multiple can be found by multiplying the highest exponent prime factors of 623 and 631. First we will calculate the prime factors of 623 and 631.

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 631


631 631
1

Prime factors of 631 are 631. Prime factorization of 631 in exponential form is:

631 = 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 623 and 631.

LCM(623,631) = 71×891×6311
LCM(623,631) = 393113

Factors of 623

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

1, 7, 89, 623

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1, 631

Least Common Multiple of 623 and 631 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 631, than apply into the LCM equation.

GCF(623,631) = 1
LCM(623,631) = ( 623 × 631) / 1
LCM(623,631) = 393113 / 1
LCM(623,631) = 393113

Properties of LCM 623 and 631

(i) The LCM of 631 and 623 is associative

LCM of 623 and 631 = LCM of 631 and 623

Related Least Common Multiples of 623

Related Least Common Multiples of 631

Frequently Asked Questions on LCM of 623 and 631

1. What is the LCM of 623 and 631?

Answer: LCM of 623 and 631 is 393113.

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 631?

Answer: Factors of 631 are 1, 631. There are 2 integers that are factors of 631. The greatest factor of 631 is 631.

4. How to Find the LCM of 623 and 631?

Answer:

Least Common Multiple of 623 and 631 = 393113

Step 1: Find the prime factorization of 623

623 = 7 x 89

Step 2: Find the prime factorization of 631

631 = 631

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

LCM = 393113 = 7 x 89 x 631

Step 4: Therefore, the least common multiple of 623 and 631 is 393113.