Least Common Multiple of 710 and 715

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 715 the smallest integer that is 101530 that is divisible by both numbers.

Least Common Multiple (LCM) of 710 and 715 is 101530.

LCM(710,715) = 101530

LCM of 710 and 715

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

LCM of:
and

Least Common Multiple of 710 and 715

LCM of 710 and 715 is 101530

Least common multiple can be found by multiplying the highest exponent prime factors of 710 and 715. First we will calculate the prime factors of 710 and 715.

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 715


5 715
11 143
13 13
1

Prime factors of 715 are 5, 11,13. Prime factorization of 715 in exponential form is:

715 = 51×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 710 and 715.

LCM(710,715) = 21×51×111×131×711
LCM(710,715) = 101530

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 715

List of positive integer factors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Least Common Multiple of 710 and 715 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 715, than apply into the LCM equation.

GCF(710,715) = 5
LCM(710,715) = ( 710 × 715) / 5
LCM(710,715) = 507650 / 5
LCM(710,715) = 101530

Properties of LCM 710 and 715

(i) The LCM of 715 and 710 is associative

LCM of 710 and 715 = LCM of 715 and 710

Related Least Common Multiples of 710

Related Least Common Multiples of 715

Frequently Asked Questions on LCM of 710 and 715

1. What is the LCM of 710 and 715?

Answer: LCM of 710 and 715 is 101530.

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 715?

Answer: Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. There are 8 integers that are factors of 715. The greatest factor of 715 is 715.

4. How to Find the LCM of 710 and 715?

Answer:

Least Common Multiple of 710 and 715 = 101530

Step 1: Find the prime factorization of 710

710 = 2 x 5 x 71

Step 2: Find the prime factorization of 715

715 = 5 x 11 x 13

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

LCM = 101530 = 2 x 5 x 11 x 13 x 71

Step 4: Therefore, the least common multiple of 710 and 715 is 101530.