Least Common Multiple of 710 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 710 and 712 the smallest integer that is 252760 that is divisible by both numbers.

Least Common Multiple (LCM) of 710 and 712 is 252760.

LCM(710,712) = 252760

LCM of 710 and 712

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

LCM of:
and

Least Common Multiple of 710 and 712

LCM of 710 and 712 is 252760

Least common multiple can be found by multiplying the highest exponent prime factors of 710 and 712. First we will calculate the prime factors of 710 and 712.

Prime Factorization of 710


2 710
5 355
71 71
1

Prime factors of 710 are 2, 5,71. Prime factorization of 710 in exponential form is:

710 = 21×51×711

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 710 and 712.

LCM(710,712) = 23×51×711×891
LCM(710,712) = 252760

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

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 710 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 710 and 712, than apply into the LCM equation.

GCF(710,712) = 2
LCM(710,712) = ( 710 × 712) / 2
LCM(710,712) = 505520 / 2
LCM(710,712) = 252760

Properties of LCM 710 and 712

(i) The LCM of 712 and 710 is associative

LCM of 710 and 712 = LCM of 712 and 710

Related Least Common Multiples of 710

Related Least Common Multiples of 712

Frequently Asked Questions on LCM of 710 and 712

1. What is the LCM of 710 and 712?

Answer: LCM of 710 and 712 is 252760.

2. What are the Factors of 710?

Answer: Factors of 710 are 1, 2, 5, 10, 71, 142, 355, 710. There are 8 integers that are factors of 710. The greatest factor of 710 is 710.

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 710 and 712?

Answer:

Least Common Multiple of 710 and 712 = 252760

Step 1: Find the prime factorization of 710

710 = 2 x 5 x 71

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 = 252760 = 2 x 2 x 2 x 5 x 71 x 89

Step 4: Therefore, the least common multiple of 710 and 712 is 252760.