Least Common Multiple of 1704 and 1712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1704 and 1712 the smallest integer that is 364656 that is divisible by both numbers.

Least Common Multiple (LCM) of 1704 and 1712 is 364656.

LCM(1704,1712) = 364656

LCM of 1704 and 1712

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

LCM of:
and

Least Common Multiple of 1704 and 1712

LCM of 1704 and 1712 is 364656

Least common multiple can be found by multiplying the highest exponent prime factors of 1704 and 1712. First we will calculate the prime factors of 1704 and 1712.

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

Prime Factorization of 1712


2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 1712 are 2,107. Prime factorization of 1712 in exponential form is:

1712 = 24×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1704 and 1712.

LCM(1704,1712) = 24×31×711×1071
LCM(1704,1712) = 364656

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

Factors of 1712

List of positive integer factors of 1712 that divides 1712 without a remainder.

1, 2, 4, 8, 16, 107, 214, 428, 856, 1712

Least Common Multiple of 1704 and 1712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1704 and 1712, than apply into the LCM equation.

GCF(1704,1712) = 8
LCM(1704,1712) = ( 1704 × 1712) / 8
LCM(1704,1712) = 2917248 / 8
LCM(1704,1712) = 364656

Properties of LCM 1704 and 1712

(i) The LCM of 1712 and 1704 is associative

LCM of 1704 and 1712 = LCM of 1712 and 1704

Related Least Common Multiples of 1704

Related Least Common Multiples of 1712

Frequently Asked Questions on LCM of 1704 and 1712

1. What is the LCM of 1704 and 1712?

Answer: LCM of 1704 and 1712 is 364656.

2. 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.

3. What are the Factors of 1712?

Answer: Factors of 1712 are 1, 2, 4, 8, 16, 107, 214, 428, 856, 1712. There are 10 integers that are factors of 1712. The greatest factor of 1712 is 1712.

4. How to Find the LCM of 1704 and 1712?

Answer:

Least Common Multiple of 1704 and 1712 = 364656

Step 1: Find the prime factorization of 1704

1704 = 2 x 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 1712

1712 = 2 x 2 x 2 x 2 x 107

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

LCM = 364656 = 2 x 2 x 2 x 2 x 3 x 71 x 107

Step 4: Therefore, the least common multiple of 1704 and 1712 is 364656.