Least Common Multiple of 617 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 617 and 623 the smallest integer that is 384391 that is divisible by both numbers.

Least Common Multiple (LCM) of 617 and 623 is 384391.

LCM(617,623) = 384391

LCM of 617 and 623

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

LCM of:
and

Least Common Multiple of 617 and 623

LCM of 617 and 623 is 384391

Least common multiple can be found by multiplying the highest exponent prime factors of 617 and 623. First we will calculate the prime factors of 617 and 623.

Prime Factorization of 617


617 617
1

Prime factors of 617 are 617. Prime factorization of 617 in exponential form is:

617 = 6171

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 617 and 623.

LCM(617,623) = 71×891×6171
LCM(617,623) = 384391

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1, 617

Factors of 623

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

1, 7, 89, 623

Least Common Multiple of 617 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 617 and 623, than apply into the LCM equation.

GCF(617,623) = 1
LCM(617,623) = ( 617 × 623) / 1
LCM(617,623) = 384391 / 1
LCM(617,623) = 384391

Properties of LCM 617 and 623

(i) The LCM of 623 and 617 is associative

LCM of 617 and 623 = LCM of 623 and 617

Related Least Common Multiples of 617

Related Least Common Multiples of 623

Frequently Asked Questions on LCM of 617 and 623

1. What is the LCM of 617 and 623?

Answer: LCM of 617 and 623 is 384391.

2. What are the Factors of 617?

Answer: Factors of 617 are 1, 617. There are 2 integers that are factors of 617. The greatest factor of 617 is 617.

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 617 and 623?

Answer:

Least Common Multiple of 617 and 623 = 384391

Step 1: Find the prime factorization of 617

617 = 617

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 = 384391 = 7 x 89 x 617

Step 4: Therefore, the least common multiple of 617 and 623 is 384391.