Least Common Multiple of 1614 and 1620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1614 and 1620 the smallest integer that is 435780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1614 and 1620 is 435780.

LCM(1614,1620) = 435780

LCM of 1614 and 1620

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

LCM of:
and

Least Common Multiple of 1614 and 1620

LCM of 1614 and 1620 is 435780

Least common multiple can be found by multiplying the highest exponent prime factors of 1614 and 1620. First we will calculate the prime factors of 1614 and 1620.

Prime Factorization of 1614


2 1614
3 807
269 269
1

Prime factors of 1614 are 2, 3,269. Prime factorization of 1614 in exponential form is:

1614 = 21×31×2691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1614 and 1620.

LCM(1614,1620) = 22×34×51×2691
LCM(1614,1620) = 435780

Factors of 1614

List of positive integer factors of 1614 that divides 1614 without a remainder.

1, 2, 3, 6, 269, 538, 807, 1614

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

Least Common Multiple of 1614 and 1620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1614 and 1620, than apply into the LCM equation.

GCF(1614,1620) = 6
LCM(1614,1620) = ( 1614 × 1620) / 6
LCM(1614,1620) = 2614680 / 6
LCM(1614,1620) = 435780

Properties of LCM 1614 and 1620

(i) The LCM of 1620 and 1614 is associative

LCM of 1614 and 1620 = LCM of 1620 and 1614

Related Least Common Multiples of 1614

Related Least Common Multiples of 1620

Frequently Asked Questions on LCM of 1614 and 1620

1. What is the LCM of 1614 and 1620?

Answer: LCM of 1614 and 1620 is 435780.

2. What are the Factors of 1614?

Answer: Factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614. There are 8 integers that are factors of 1614. The greatest factor of 1614 is 1614.

3. 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.

4. How to Find the LCM of 1614 and 1620?

Answer:

Least Common Multiple of 1614 and 1620 = 435780

Step 1: Find the prime factorization of 1614

1614 = 2 x 3 x 269

Step 2: Find the prime factorization of 1620

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

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

LCM = 435780 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 269

Step 4: Therefore, the least common multiple of 1614 and 1620 is 435780.