Least Common Multiple of 706 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 706 and 712 the smallest integer that is 251336 that is divisible by both numbers.

Least Common Multiple (LCM) of 706 and 712 is 251336.

LCM(706,712) = 251336

LCM of 706 and 712

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

LCM of:
and

Least Common Multiple of 706 and 712

LCM of 706 and 712 is 251336

Least common multiple can be found by multiplying the highest exponent prime factors of 706 and 712. First we will calculate the prime factors of 706 and 712.

Prime Factorization of 706


2 706
353 353
1

Prime factors of 706 are 2,353. Prime factorization of 706 in exponential form is:

706 = 21×3531

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 706 and 712.

LCM(706,712) = 23×891×3531
LCM(706,712) = 251336

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 706 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 706 and 712, than apply into the LCM equation.

GCF(706,712) = 2
LCM(706,712) = ( 706 × 712) / 2
LCM(706,712) = 502672 / 2
LCM(706,712) = 251336

Properties of LCM 706 and 712

(i) The LCM of 712 and 706 is associative

LCM of 706 and 712 = LCM of 712 and 706

Related Least Common Multiples of 706

Related Least Common Multiples of 712

Frequently Asked Questions on LCM of 706 and 712

1. What is the LCM of 706 and 712?

Answer: LCM of 706 and 712 is 251336.

2. What are the Factors of 706?

Answer: Factors of 706 are 1, 2, 353, 706. There are 4 integers that are factors of 706. The greatest factor of 706 is 706.

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 706 and 712?

Answer:

Least Common Multiple of 706 and 712 = 251336

Step 1: Find the prime factorization of 706

706 = 2 x 353

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 = 251336 = 2 x 2 x 2 x 89 x 353

Step 4: Therefore, the least common multiple of 706 and 712 is 251336.