Least Common Multiple of 1700 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 1700 and 1704 the smallest integer that is 724200 that is divisible by both numbers.

Least Common Multiple (LCM) of 1700 and 1704 is 724200.

LCM(1700,1704) = 724200

LCM of 1700 and 1704

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

LCM of:
and

Least Common Multiple of 1700 and 1704

LCM of 1700 and 1704 is 724200

Least common multiple can be found by multiplying the highest exponent prime factors of 1700 and 1704. First we will calculate the prime factors of 1700 and 1704.

Prime Factorization of 1700


2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 1700 are 2, 5,17. Prime factorization of 1700 in exponential form is:

1700 = 22×52×171

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 1700 and 1704.

LCM(1700,1704) = 23×31×52×171×711
LCM(1700,1704) = 724200

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700

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 1700 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 1700 and 1704, than apply into the LCM equation.

GCF(1700,1704) = 4
LCM(1700,1704) = ( 1700 × 1704) / 4
LCM(1700,1704) = 2896800 / 4
LCM(1700,1704) = 724200

Properties of LCM 1700 and 1704

(i) The LCM of 1704 and 1700 is associative

LCM of 1700 and 1704 = LCM of 1704 and 1700

Related Least Common Multiples of 1700

Related Least Common Multiples of 1704

Frequently Asked Questions on LCM of 1700 and 1704

1. What is the LCM of 1700 and 1704?

Answer: LCM of 1700 and 1704 is 724200.

2. What are the Factors of 1700?

Answer: Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. There are 18 integers that are factors of 1700. The greatest factor of 1700 is 1700.

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 1700 and 1704?

Answer:

Least Common Multiple of 1700 and 1704 = 724200

Step 1: Find the prime factorization of 1700

1700 = 2 x 2 x 5 x 5 x 17

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 = 724200 = 2 x 2 x 2 x 3 x 5 x 5 x 17 x 71

Step 4: Therefore, the least common multiple of 1700 and 1704 is 724200.