Least Common Multiple of 1620 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 1620 and 1627 the smallest integer that is 2635740 that is divisible by both numbers.

Least Common Multiple (LCM) of 1620 and 1627 is 2635740.

LCM(1620,1627) = 2635740

LCM of 1620 and 1627

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

LCM of:
and

Least Common Multiple of 1620 and 1627

LCM of 1620 and 1627 is 2635740

Least common multiple can be found by multiplying the highest exponent prime factors of 1620 and 1627. First we will calculate the prime factors of 1620 and 1627.

Prime Factorization of 1620


2 1620
2 810
3 405
3 135
3 45
3 15
5 5
1

Prime factors of 1620 are 2, 3,5. Prime factorization of 1620 in exponential form is:

1620 = 22×34×51

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 1620 and 1627.

LCM(1620,1627) = 22×34×51×16271
LCM(1620,1627) = 2635740

Factors of 1620

List of positive integer factors of 1620 that divides 1620 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620

Factors of 1627

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

1, 1627

Least Common Multiple of 1620 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 1620 and 1627, than apply into the LCM equation.

GCF(1620,1627) = 1
LCM(1620,1627) = ( 1620 × 1627) / 1
LCM(1620,1627) = 2635740 / 1
LCM(1620,1627) = 2635740

Properties of LCM 1620 and 1627

(i) The LCM of 1627 and 1620 is associative

LCM of 1620 and 1627 = LCM of 1627 and 1620

Related Least Common Multiples of 1620

Related Least Common Multiples of 1627

Frequently Asked Questions on LCM of 1620 and 1627

1. What is the LCM of 1620 and 1627?

Answer: LCM of 1620 and 1627 is 2635740.

2. What are the Factors of 1620?

Answer: Factors of 1620 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 270, 324, 405, 540, 810, 1620. There are 30 integers that are factors of 1620. The greatest factor of 1620 is 1620.

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 1620 and 1627?

Answer:

Least Common Multiple of 1620 and 1627 = 2635740

Step 1: Find the prime factorization of 1620

1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5

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 = 2635740 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 1627

Step 4: Therefore, the least common multiple of 1620 and 1627 is 2635740.