Least Common Multiple of 1699 and 1704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1699 and 1704 the smallest integer that is 2895096 that is divisible by both numbers.

Least Common Multiple (LCM) of 1699 and 1704 is 2895096.

LCM(1699,1704) = 2895096

LCM of 1699 and 1704

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

LCM of:
and

Least Common Multiple of 1699 and 1704

LCM of 1699 and 1704 is 2895096

Least common multiple can be found by multiplying the highest exponent prime factors of 1699 and 1704. First we will calculate the prime factors of 1699 and 1704.

Prime Factorization of 1699


1699 1699
1

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

1699 = 16991

Prime Factorization of 1704


2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 1704 are 2, 3,71. Prime factorization of 1704 in exponential form is:

1704 = 23×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 1699 and 1704.

LCM(1699,1704) = 23×31×711×16991
LCM(1699,1704) = 2895096

Factors of 1699

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

1, 1699

Factors of 1704

List of positive integer factors of 1704 that divides 1704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704

Least Common Multiple of 1699 and 1704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1699 and 1704, than apply into the LCM equation.

GCF(1699,1704) = 1
LCM(1699,1704) = ( 1699 × 1704) / 1
LCM(1699,1704) = 2895096 / 1
LCM(1699,1704) = 2895096

Properties of LCM 1699 and 1704

(i) The LCM of 1704 and 1699 is associative

LCM of 1699 and 1704 = LCM of 1704 and 1699

Related Least Common Multiples of 1699

Related Least Common Multiples of 1704

Frequently Asked Questions on LCM of 1699 and 1704

1. What is the LCM of 1699 and 1704?

Answer: LCM of 1699 and 1704 is 2895096.

2. 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.

3. What are the Factors of 1704?

Answer: Factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704. There are 16 integers that are factors of 1704. The greatest factor of 1704 is 1704.

4. How to Find the LCM of 1699 and 1704?

Answer:

Least Common Multiple of 1699 and 1704 = 2895096

Step 1: Find the prime factorization of 1699

1699 = 1699

Step 2: Find the prime factorization of 1704

1704 = 2 x 2 x 2 x 3 x 71

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

LCM = 2895096 = 2 x 2 x 2 x 3 x 71 x 1699

Step 4: Therefore, the least common multiple of 1699 and 1704 is 2895096.