Least Common Multiple of 1616 and 1617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1616 and 1617 the smallest integer that is 2613072 that is divisible by both numbers.

Least Common Multiple (LCM) of 1616 and 1617 is 2613072.

LCM(1616,1617) = 2613072

LCM of 1616 and 1617

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

LCM of:
and

Least Common Multiple of 1616 and 1617

LCM of 1616 and 1617 is 2613072

Least common multiple can be found by multiplying the highest exponent prime factors of 1616 and 1617. First we will calculate the prime factors of 1616 and 1617.

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

Prime Factorization of 1617


3 1617
7 539
7 77
11 11
1

Prime factors of 1617 are 3, 7,11. Prime factorization of 1617 in exponential form is:

1617 = 31×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1616 and 1617.

LCM(1616,1617) = 24×31×72×111×1011
LCM(1616,1617) = 2613072

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

Factors of 1617

List of positive integer factors of 1617 that divides 1617 without a remainder.

1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617

Least Common Multiple of 1616 and 1617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1616 and 1617, than apply into the LCM equation.

GCF(1616,1617) = 1
LCM(1616,1617) = ( 1616 × 1617) / 1
LCM(1616,1617) = 2613072 / 1
LCM(1616,1617) = 2613072

Properties of LCM 1616 and 1617

(i) The LCM of 1617 and 1616 is associative

LCM of 1616 and 1617 = LCM of 1617 and 1616

Related Least Common Multiples of 1616

Related Least Common Multiples of 1617

Frequently Asked Questions on LCM of 1616 and 1617

1. What is the LCM of 1616 and 1617?

Answer: LCM of 1616 and 1617 is 2613072.

2. 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.

3. What are the Factors of 1617?

Answer: Factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617. There are 12 integers that are factors of 1617. The greatest factor of 1617 is 1617.

4. How to Find the LCM of 1616 and 1617?

Answer:

Least Common Multiple of 1616 and 1617 = 2613072

Step 1: Find the prime factorization of 1616

1616 = 2 x 2 x 2 x 2 x 101

Step 2: Find the prime factorization of 1617

1617 = 3 x 7 x 7 x 11

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

LCM = 2613072 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 11 x 101

Step 4: Therefore, the least common multiple of 1616 and 1617 is 2613072.