Least Common Multiple of 623 and 628

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 628 the smallest integer that is 391244 that is divisible by both numbers.

Least Common Multiple (LCM) of 623 and 628 is 391244.

LCM(623,628) = 391244

LCM of 623 and 628

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

LCM of:
and

Least Common Multiple of 623 and 628

LCM of 623 and 628 is 391244

Least common multiple can be found by multiplying the highest exponent prime factors of 623 and 628. First we will calculate the prime factors of 623 and 628.

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 628


2 628
2 314
157 157
1

Prime factors of 628 are 2,157. Prime factorization of 628 in exponential form is:

628 = 22×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 623 and 628.

LCM(623,628) = 22×71×891×1571
LCM(623,628) = 391244

Factors of 623

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

1, 7, 89, 623

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Least Common Multiple of 623 and 628 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 628, than apply into the LCM equation.

GCF(623,628) = 1
LCM(623,628) = ( 623 × 628) / 1
LCM(623,628) = 391244 / 1
LCM(623,628) = 391244

Properties of LCM 623 and 628

(i) The LCM of 628 and 623 is associative

LCM of 623 and 628 = LCM of 628 and 623

Related Least Common Multiples of 623

Related Least Common Multiples of 628

Frequently Asked Questions on LCM of 623 and 628

1. What is the LCM of 623 and 628?

Answer: LCM of 623 and 628 is 391244.

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 628?

Answer: Factors of 628 are 1, 2, 4, 157, 314, 628. There are 6 integers that are factors of 628. The greatest factor of 628 is 628.

4. How to Find the LCM of 623 and 628?

Answer:

Least Common Multiple of 623 and 628 = 391244

Step 1: Find the prime factorization of 623

623 = 7 x 89

Step 2: Find the prime factorization of 628

628 = 2 x 2 x 157

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

LCM = 391244 = 2 x 2 x 7 x 89 x 157

Step 4: Therefore, the least common multiple of 623 and 628 is 391244.