Least Common Multiple of 1612 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 1612 and 1620 the smallest integer that is 652860 that is divisible by both numbers.

Least Common Multiple (LCM) of 1612 and 1620 is 652860.

LCM(1612,1620) = 652860

LCM of 1612 and 1620

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

LCM of:
and

Least Common Multiple of 1612 and 1620

LCM of 1612 and 1620 is 652860

Least common multiple can be found by multiplying the highest exponent prime factors of 1612 and 1620. First we will calculate the prime factors of 1612 and 1620.

Prime Factorization of 1612


2 1612
2 806
13 403
31 31
1

Prime factors of 1612 are 2, 13,31. Prime factorization of 1612 in exponential form is:

1612 = 22×131×311

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 1612 and 1620.

LCM(1612,1620) = 22×34×51×131×311
LCM(1612,1620) = 652860

Factors of 1612

List of positive integer factors of 1612 that divides 1612 without a remainder.

1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612

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 1612 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 1612 and 1620, than apply into the LCM equation.

GCF(1612,1620) = 4
LCM(1612,1620) = ( 1612 × 1620) / 4
LCM(1612,1620) = 2611440 / 4
LCM(1612,1620) = 652860

Properties of LCM 1612 and 1620

(i) The LCM of 1620 and 1612 is associative

LCM of 1612 and 1620 = LCM of 1620 and 1612

Related Least Common Multiples of 1612

Related Least Common Multiples of 1620

Frequently Asked Questions on LCM of 1612 and 1620

1. What is the LCM of 1612 and 1620?

Answer: LCM of 1612 and 1620 is 652860.

2. What are the Factors of 1612?

Answer: Factors of 1612 are 1, 2, 4, 13, 26, 31, 52, 62, 124, 403, 806, 1612. There are 12 integers that are factors of 1612. The greatest factor of 1612 is 1612.

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 1612 and 1620?

Answer:

Least Common Multiple of 1612 and 1620 = 652860

Step 1: Find the prime factorization of 1612

1612 = 2 x 2 x 13 x 31

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 = 652860 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 31

Step 4: Therefore, the least common multiple of 1612 and 1620 is 652860.