Least Common Multiple of 1612 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 1612 and 1616 the smallest integer that is 651248 that is divisible by both numbers.

Least Common Multiple (LCM) of 1612 and 1616 is 651248.

LCM(1612,1616) = 651248

LCM of 1612 and 1616

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

LCM of:
and

Least Common Multiple of 1612 and 1616

LCM of 1612 and 1616 is 651248

Least common multiple can be found by multiplying the highest exponent prime factors of 1612 and 1616. First we will calculate the prime factors of 1612 and 1616.

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 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 1612 and 1616.

LCM(1612,1616) = 24×131×311×1011
LCM(1612,1616) = 651248

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 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 1612 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 1612 and 1616, than apply into the LCM equation.

GCF(1612,1616) = 4
LCM(1612,1616) = ( 1612 × 1616) / 4
LCM(1612,1616) = 2604992 / 4
LCM(1612,1616) = 651248

Properties of LCM 1612 and 1616

(i) The LCM of 1616 and 1612 is associative

LCM of 1612 and 1616 = LCM of 1616 and 1612

Related Least Common Multiples of 1612

Related Least Common Multiples of 1616

Frequently Asked Questions on LCM of 1612 and 1616

1. What is the LCM of 1612 and 1616?

Answer: LCM of 1612 and 1616 is 651248.

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 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 1612 and 1616?

Answer:

Least Common Multiple of 1612 and 1616 = 651248

Step 1: Find the prime factorization of 1612

1612 = 2 x 2 x 13 x 31

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 = 651248 = 2 x 2 x 2 x 2 x 13 x 31 x 101

Step 4: Therefore, the least common multiple of 1612 and 1616 is 651248.