Least Common Multiple of 623 and 624

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 624 the smallest integer that is 388752 that is divisible by both numbers.

Least Common Multiple (LCM) of 623 and 624 is 388752.

LCM(623,624) = 388752

LCM of 623 and 624

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

LCM of:
and

Least Common Multiple of 623 and 624

LCM of 623 and 624 is 388752

Least common multiple can be found by multiplying the highest exponent prime factors of 623 and 624. First we will calculate the prime factors of 623 and 624.

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 624


2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 624 are 2, 3,13. Prime factorization of 624 in exponential form is:

624 = 24×31×131

Now multiplying the highest exponent prime factors to calculate the LCM of 623 and 624.

LCM(623,624) = 24×31×71×131×891
LCM(623,624) = 388752

Factors of 623

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

1, 7, 89, 623

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Least Common Multiple of 623 and 624 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 624, than apply into the LCM equation.

GCF(623,624) = 1
LCM(623,624) = ( 623 × 624) / 1
LCM(623,624) = 388752 / 1
LCM(623,624) = 388752

Properties of LCM 623 and 624

(i) The LCM of 624 and 623 is associative

LCM of 623 and 624 = LCM of 624 and 623

Related Least Common Multiples of 623

Related Least Common Multiples of 624

Frequently Asked Questions on LCM of 623 and 624

1. What is the LCM of 623 and 624?

Answer: LCM of 623 and 624 is 388752.

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 624?

Answer: Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624. There are 20 integers that are factors of 624. The greatest factor of 624 is 624.

4. How to Find the LCM of 623 and 624?

Answer:

Least Common Multiple of 623 and 624 = 388752

Step 1: Find the prime factorization of 623

623 = 7 x 89

Step 2: Find the prime factorization of 624

624 = 2 x 2 x 2 x 2 x 3 x 13

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

LCM = 388752 = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 89

Step 4: Therefore, the least common multiple of 623 and 624 is 388752.