Least Common Multiple of 622 and 623

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 623 the smallest integer that is 387506 that is divisible by both numbers.

Least Common Multiple (LCM) of 622 and 623 is 387506.

LCM(622,623) = 387506

LCM of 622 and 623

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

LCM of:
and

Least Common Multiple of 622 and 623

LCM of 622 and 623 is 387506

Least common multiple can be found by multiplying the highest exponent prime factors of 622 and 623. First we will calculate the prime factors of 622 and 623.

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 623


7 623
89 89
1

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

623 = 71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 622 and 623.

LCM(622,623) = 21×71×891×3111
LCM(622,623) = 387506

Factors of 622

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

1, 2, 311, 622

Factors of 623

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

1, 7, 89, 623

Least Common Multiple of 622 and 623 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 623, than apply into the LCM equation.

GCF(622,623) = 1
LCM(622,623) = ( 622 × 623) / 1
LCM(622,623) = 387506 / 1
LCM(622,623) = 387506

Properties of LCM 622 and 623

(i) The LCM of 623 and 622 is associative

LCM of 622 and 623 = LCM of 623 and 622

Related Least Common Multiples of 622

Related Least Common Multiples of 623

Frequently Asked Questions on LCM of 622 and 623

1. What is the LCM of 622 and 623?

Answer: LCM of 622 and 623 is 387506.

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 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.

4. How to Find the LCM of 622 and 623?

Answer:

Least Common Multiple of 622 and 623 = 387506

Step 1: Find the prime factorization of 622

622 = 2 x 311

Step 2: Find the prime factorization of 623

623 = 7 x 89

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

LCM = 387506 = 2 x 7 x 89 x 311

Step 4: Therefore, the least common multiple of 622 and 623 is 387506.