Least Common Multiple of 4622 and 4627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4622 and 4627 the smallest integer that is 21385994 that is divisible by both numbers.

Least Common Multiple (LCM) of 4622 and 4627 is 21385994.

LCM(4622,4627) = 21385994

LCM of 4622 and 4627

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

LCM of:
and

Least Common Multiple of 4622 and 4627

LCM of 4622 and 4627 is 21385994

Least common multiple can be found by multiplying the highest exponent prime factors of 4622 and 4627. First we will calculate the prime factors of 4622 and 4627.

Prime Factorization of 4622


2 4622
2311 2311
1

Prime factors of 4622 are 2,2311. Prime factorization of 4622 in exponential form is:

4622 = 21×23111

Prime Factorization of 4627


7 4627
661 661
1

Prime factors of 4627 are 7,661. Prime factorization of 4627 in exponential form is:

4627 = 71×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 4622 and 4627.

LCM(4622,4627) = 21×71×6611×23111
LCM(4622,4627) = 21385994

Factors of 4622

List of positive integer factors of 4622 that divides 4622 without a remainder.

1, 2, 2311, 4622

Factors of 4627

List of positive integer factors of 4627 that divides 4627 without a remainder.

1, 7, 661, 4627

Least Common Multiple of 4622 and 4627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4622 and 4627, than apply into the LCM equation.

GCF(4622,4627) = 1
LCM(4622,4627) = ( 4622 × 4627) / 1
LCM(4622,4627) = 21385994 / 1
LCM(4622,4627) = 21385994

Properties of LCM 4622 and 4627

(i) The LCM of 4627 and 4622 is associative

LCM of 4622 and 4627 = LCM of 4627 and 4622

Frequently Asked Questions on LCM of 4622 and 4627

1. What is the LCM of 4622 and 4627?

Answer: LCM of 4622 and 4627 is 21385994.

2. What are the Factors of 4622?

Answer: Factors of 4622 are 1, 2, 2311, 4622. There are 4 integers that are factors of 4622. The greatest factor of 4622 is 4622.

3. What are the Factors of 4627?

Answer: Factors of 4627 are 1, 7, 661, 4627. There are 4 integers that are factors of 4627. The greatest factor of 4627 is 4627.

4. How to Find the LCM of 4622 and 4627?

Answer:

Least Common Multiple of 4622 and 4627 = 21385994

Step 1: Find the prime factorization of 4622

4622 = 2 x 2311

Step 2: Find the prime factorization of 4627

4627 = 7 x 661

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

LCM = 21385994 = 2 x 7 x 661 x 2311

Step 4: Therefore, the least common multiple of 4622 and 4627 is 21385994.