Least Common Multiple of 1614 and 1616

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 1616 the smallest integer that is 1304112 that is divisible by both numbers.

Least Common Multiple (LCM) of 1614 and 1616 is 1304112.

LCM(1614,1616) = 1304112

LCM of 1614 and 1616

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

LCM of:
and

Least Common Multiple of 1614 and 1616

LCM of 1614 and 1616 is 1304112

Least common multiple can be found by multiplying the highest exponent prime factors of 1614 and 1616. First we will calculate the prime factors of 1614 and 1616.

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 1616


2 1616
2 808
2 404
2 202
101 101
1

Prime factors of 1616 are 2,101. Prime factorization of 1616 in exponential form is:

1616 = 24×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 1614 and 1616.

LCM(1614,1616) = 24×31×1011×2691
LCM(1614,1616) = 1304112

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 1616

List of positive integer factors of 1616 that divides 1616 without a remainder.

1, 2, 4, 8, 16, 101, 202, 404, 808, 1616

Least Common Multiple of 1614 and 1616 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 1616, than apply into the LCM equation.

GCF(1614,1616) = 2
LCM(1614,1616) = ( 1614 × 1616) / 2
LCM(1614,1616) = 2608224 / 2
LCM(1614,1616) = 1304112

Properties of LCM 1614 and 1616

(i) The LCM of 1616 and 1614 is associative

LCM of 1614 and 1616 = LCM of 1616 and 1614

Related Least Common Multiples of 1614

Related Least Common Multiples of 1616

Frequently Asked Questions on LCM of 1614 and 1616

1. What is the LCM of 1614 and 1616?

Answer: LCM of 1614 and 1616 is 1304112.

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 1616?

Answer: Factors of 1616 are 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616. There are 10 integers that are factors of 1616. The greatest factor of 1616 is 1616.

4. How to Find the LCM of 1614 and 1616?

Answer:

Least Common Multiple of 1614 and 1616 = 1304112

Step 1: Find the prime factorization of 1614

1614 = 2 x 3 x 269

Step 2: Find the prime factorization of 1616

1616 = 2 x 2 x 2 x 2 x 101

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

LCM = 1304112 = 2 x 2 x 2 x 2 x 3 x 101 x 269

Step 4: Therefore, the least common multiple of 1614 and 1616 is 1304112.