Least Common Multiple of 1614 and 1621

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 1621 the smallest integer that is 2616294 that is divisible by both numbers.

Least Common Multiple (LCM) of 1614 and 1621 is 2616294.

LCM(1614,1621) = 2616294

LCM of 1614 and 1621

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

LCM of:
and

Least Common Multiple of 1614 and 1621

LCM of 1614 and 1621 is 2616294

Least common multiple can be found by multiplying the highest exponent prime factors of 1614 and 1621. First we will calculate the prime factors of 1614 and 1621.

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 1621


1621 1621
1

Prime factors of 1621 are 1621. Prime factorization of 1621 in exponential form is:

1621 = 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 1614 and 1621.

LCM(1614,1621) = 21×31×2691×16211
LCM(1614,1621) = 2616294

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 1621

List of positive integer factors of 1621 that divides 1621 without a remainder.

1, 1621

Least Common Multiple of 1614 and 1621 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 1621, than apply into the LCM equation.

GCF(1614,1621) = 1
LCM(1614,1621) = ( 1614 × 1621) / 1
LCM(1614,1621) = 2616294 / 1
LCM(1614,1621) = 2616294

Properties of LCM 1614 and 1621

(i) The LCM of 1621 and 1614 is associative

LCM of 1614 and 1621 = LCM of 1621 and 1614

Related Least Common Multiples of 1614

Related Least Common Multiples of 1621

Frequently Asked Questions on LCM of 1614 and 1621

1. What is the LCM of 1614 and 1621?

Answer: LCM of 1614 and 1621 is 2616294.

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 1621?

Answer: Factors of 1621 are 1, 1621. There are 2 integers that are factors of 1621. The greatest factor of 1621 is 1621.

4. How to Find the LCM of 1614 and 1621?

Answer:

Least Common Multiple of 1614 and 1621 = 2616294

Step 1: Find the prime factorization of 1614

1614 = 2 x 3 x 269

Step 2: Find the prime factorization of 1621

1621 = 1621

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

LCM = 2616294 = 2 x 3 x 269 x 1621

Step 4: Therefore, the least common multiple of 1614 and 1621 is 2616294.