Least Common Multiple of 1616 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 1616 and 1620 the smallest integer that is 654480 that is divisible by both numbers.

Least Common Multiple (LCM) of 1616 and 1620 is 654480.

LCM(1616,1620) = 654480

LCM of 1616 and 1620

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

LCM of:
and

Least Common Multiple of 1616 and 1620

LCM of 1616 and 1620 is 654480

Least common multiple can be found by multiplying the highest exponent prime factors of 1616 and 1620. First we will calculate the prime factors of 1616 and 1620.

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 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 1616 and 1620.

LCM(1616,1620) = 24×34×51×1011
LCM(1616,1620) = 654480

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 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 1616 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 1616 and 1620, than apply into the LCM equation.

GCF(1616,1620) = 4
LCM(1616,1620) = ( 1616 × 1620) / 4
LCM(1616,1620) = 2617920 / 4
LCM(1616,1620) = 654480

Properties of LCM 1616 and 1620

(i) The LCM of 1620 and 1616 is associative

LCM of 1616 and 1620 = LCM of 1620 and 1616

Related Least Common Multiples of 1616

Related Least Common Multiples of 1620

Frequently Asked Questions on LCM of 1616 and 1620

1. What is the LCM of 1616 and 1620?

Answer: LCM of 1616 and 1620 is 654480.

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 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 1616 and 1620?

Answer:

Least Common Multiple of 1616 and 1620 = 654480

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 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 = 654480 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 101

Step 4: Therefore, the least common multiple of 1616 and 1620 is 654480.