Least Common Multiple of 616 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 616 and 623 the smallest integer that is 54824 that is divisible by both numbers.

Least Common Multiple (LCM) of 616 and 623 is 54824.

LCM(616,623) = 54824

LCM of 616 and 623

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

LCM of:
and

Least Common Multiple of 616 and 623

LCM of 616 and 623 is 54824

Least common multiple can be found by multiplying the highest exponent prime factors of 616 and 623. First we will calculate the prime factors of 616 and 623.

Prime Factorization of 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

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 616 and 623.

LCM(616,623) = 23×71×111×891
LCM(616,623) = 54824

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Factors of 623

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

1, 7, 89, 623

Least Common Multiple of 616 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 616 and 623, than apply into the LCM equation.

GCF(616,623) = 7
LCM(616,623) = ( 616 × 623) / 7
LCM(616,623) = 383768 / 7
LCM(616,623) = 54824

Properties of LCM 616 and 623

(i) The LCM of 623 and 616 is associative

LCM of 616 and 623 = LCM of 623 and 616

Related Least Common Multiples of 616

Related Least Common Multiples of 623

Frequently Asked Questions on LCM of 616 and 623

1. What is the LCM of 616 and 623?

Answer: LCM of 616 and 623 is 54824.

2. What are the Factors of 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

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 616 and 623?

Answer:

Least Common Multiple of 616 and 623 = 54824

Step 1: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

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 = 54824 = 2 x 2 x 2 x 7 x 11 x 89

Step 4: Therefore, the least common multiple of 616 and 623 is 54824.