Least Common Multiple of 704 and 712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 704 and 712 the smallest integer that is 62656 that is divisible by both numbers.

Least Common Multiple (LCM) of 704 and 712 is 62656.

LCM(704,712) = 62656

LCM of 704 and 712

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

LCM of:
and

Least Common Multiple of 704 and 712

LCM of 704 and 712 is 62656

Least common multiple can be found by multiplying the highest exponent prime factors of 704 and 712. First we will calculate the prime factors of 704 and 712.

Prime Factorization of 704


2 704
2 352
2 176
2 88
2 44
2 22
11 11
1

Prime factors of 704 are 2,11. Prime factorization of 704 in exponential form is:

704 = 26×111

Prime Factorization of 712


2 712
2 356
2 178
89 89
1

Prime factors of 712 are 2,89. Prime factorization of 712 in exponential form is:

712 = 23×891

Now multiplying the highest exponent prime factors to calculate the LCM of 704 and 712.

LCM(704,712) = 26×111×891
LCM(704,712) = 62656

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Least Common Multiple of 704 and 712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 704 and 712, than apply into the LCM equation.

GCF(704,712) = 8
LCM(704,712) = ( 704 × 712) / 8
LCM(704,712) = 501248 / 8
LCM(704,712) = 62656

Properties of LCM 704 and 712

(i) The LCM of 712 and 704 is associative

LCM of 704 and 712 = LCM of 712 and 704

Related Least Common Multiples of 704

Related Least Common Multiples of 712

Frequently Asked Questions on LCM of 704 and 712

1. What is the LCM of 704 and 712?

Answer: LCM of 704 and 712 is 62656.

2. What are the Factors of 704?

Answer: Factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704. There are 14 integers that are factors of 704. The greatest factor of 704 is 704.

3. What are the Factors of 712?

Answer: Factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712. There are 8 integers that are factors of 712. The greatest factor of 712 is 712.

4. How to Find the LCM of 704 and 712?

Answer:

Least Common Multiple of 704 and 712 = 62656

Step 1: Find the prime factorization of 704

704 = 2 x 2 x 2 x 2 x 2 x 2 x 11

Step 2: Find the prime factorization of 712

712 = 2 x 2 x 2 x 89

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

LCM = 62656 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 89

Step 4: Therefore, the least common multiple of 704 and 712 is 62656.