Least Common Multiple of 1696 and 1699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1696 and 1699 the smallest integer that is 2881504 that is divisible by both numbers.

Least Common Multiple (LCM) of 1696 and 1699 is 2881504.

LCM(1696,1699) = 2881504

LCM of 1696 and 1699

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

LCM of:
and

Least Common Multiple of 1696 and 1699

LCM of 1696 and 1699 is 2881504

Least common multiple can be found by multiplying the highest exponent prime factors of 1696 and 1699. First we will calculate the prime factors of 1696 and 1699.

Prime Factorization of 1696


2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 1696 are 2,53. Prime factorization of 1696 in exponential form is:

1696 = 25×531

Prime Factorization of 1699


1699 1699
1

Prime factors of 1699 are 1699. Prime factorization of 1699 in exponential form is:

1699 = 16991

Now multiplying the highest exponent prime factors to calculate the LCM of 1696 and 1699.

LCM(1696,1699) = 25×531×16991
LCM(1696,1699) = 2881504

Factors of 1696

List of positive integer factors of 1696 that divides 1696 without a remainder.

1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696

Factors of 1699

List of positive integer factors of 1699 that divides 1699 without a remainder.

1, 1699

Least Common Multiple of 1696 and 1699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1696 and 1699, than apply into the LCM equation.

GCF(1696,1699) = 1
LCM(1696,1699) = ( 1696 × 1699) / 1
LCM(1696,1699) = 2881504 / 1
LCM(1696,1699) = 2881504

Properties of LCM 1696 and 1699

(i) The LCM of 1699 and 1696 is associative

LCM of 1696 and 1699 = LCM of 1699 and 1696

Related Least Common Multiples of 1696

Related Least Common Multiples of 1699

Frequently Asked Questions on LCM of 1696 and 1699

1. What is the LCM of 1696 and 1699?

Answer: LCM of 1696 and 1699 is 2881504.

2. What are the Factors of 1696?

Answer: Factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696. There are 12 integers that are factors of 1696. The greatest factor of 1696 is 1696.

3. What are the Factors of 1699?

Answer: Factors of 1699 are 1, 1699. There are 2 integers that are factors of 1699. The greatest factor of 1699 is 1699.

4. How to Find the LCM of 1696 and 1699?

Answer:

Least Common Multiple of 1696 and 1699 = 2881504

Step 1: Find the prime factorization of 1696

1696 = 2 x 2 x 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 1699

1699 = 1699

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

LCM = 2881504 = 2 x 2 x 2 x 2 x 2 x 53 x 1699

Step 4: Therefore, the least common multiple of 1696 and 1699 is 2881504.