Least Common Multiple of 1622 and 1627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1622 and 1627 the smallest integer that is 2638994 that is divisible by both numbers.

Least Common Multiple (LCM) of 1622 and 1627 is 2638994.

LCM(1622,1627) = 2638994

LCM of 1622 and 1627

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

LCM of:
and

Least Common Multiple of 1622 and 1627

LCM of 1622 and 1627 is 2638994

Least common multiple can be found by multiplying the highest exponent prime factors of 1622 and 1627. First we will calculate the prime factors of 1622 and 1627.

Prime Factorization of 1622


2 1622
811 811
1

Prime factors of 1622 are 2,811. Prime factorization of 1622 in exponential form is:

1622 = 21×8111

Prime Factorization of 1627


1627 1627
1

Prime factors of 1627 are 1627. Prime factorization of 1627 in exponential form is:

1627 = 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 1622 and 1627.

LCM(1622,1627) = 21×8111×16271
LCM(1622,1627) = 2638994

Factors of 1622

List of positive integer factors of 1622 that divides 1622 without a remainder.

1, 2, 811, 1622

Factors of 1627

List of positive integer factors of 1627 that divides 1627 without a remainder.

1, 1627

Least Common Multiple of 1622 and 1627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1622 and 1627, than apply into the LCM equation.

GCF(1622,1627) = 1
LCM(1622,1627) = ( 1622 × 1627) / 1
LCM(1622,1627) = 2638994 / 1
LCM(1622,1627) = 2638994

Properties of LCM 1622 and 1627

(i) The LCM of 1627 and 1622 is associative

LCM of 1622 and 1627 = LCM of 1627 and 1622

Related Least Common Multiples of 1622

Related Least Common Multiples of 1627

Frequently Asked Questions on LCM of 1622 and 1627

1. What is the LCM of 1622 and 1627?

Answer: LCM of 1622 and 1627 is 2638994.

2. What are the Factors of 1622?

Answer: Factors of 1622 are 1, 2, 811, 1622. There are 4 integers that are factors of 1622. The greatest factor of 1622 is 1622.

3. What are the Factors of 1627?

Answer: Factors of 1627 are 1, 1627. There are 2 integers that are factors of 1627. The greatest factor of 1627 is 1627.

4. How to Find the LCM of 1622 and 1627?

Answer:

Least Common Multiple of 1622 and 1627 = 2638994

Step 1: Find the prime factorization of 1622

1622 = 2 x 811

Step 2: Find the prime factorization of 1627

1627 = 1627

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

LCM = 2638994 = 2 x 811 x 1627

Step 4: Therefore, the least common multiple of 1622 and 1627 is 2638994.