Least Common Multiple of 707 and 710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 707 and 710 the smallest integer that is 501970 that is divisible by both numbers.

Least Common Multiple (LCM) of 707 and 710 is 501970.

LCM(707,710) = 501970

LCM of 707 and 710

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

LCM of:
and

Least Common Multiple of 707 and 710

LCM of 707 and 710 is 501970

Least common multiple can be found by multiplying the highest exponent prime factors of 707 and 710. First we will calculate the prime factors of 707 and 710.

Prime Factorization of 707


7 707
101 101
1

Prime factors of 707 are 7,101. Prime factorization of 707 in exponential form is:

707 = 71×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 707 and 710.

LCM(707,710) = 21×51×71×711×1011
LCM(707,710) = 501970

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Factors of 710

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

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

Least Common Multiple of 707 and 710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 707 and 710, than apply into the LCM equation.

GCF(707,710) = 1
LCM(707,710) = ( 707 × 710) / 1
LCM(707,710) = 501970 / 1
LCM(707,710) = 501970

Properties of LCM 707 and 710

(i) The LCM of 710 and 707 is associative

LCM of 707 and 710 = LCM of 710 and 707

Related Least Common Multiples of 707

Related Least Common Multiples of 710

Frequently Asked Questions on LCM of 707 and 710

1. What is the LCM of 707 and 710?

Answer: LCM of 707 and 710 is 501970.

2. What are the Factors of 707?

Answer: Factors of 707 are 1, 7, 101, 707. There are 4 integers that are factors of 707. The greatest factor of 707 is 707.

3. 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.

4. How to Find the LCM of 707 and 710?

Answer:

Least Common Multiple of 707 and 710 = 501970

Step 1: Find the prime factorization of 707

707 = 7 x 101

Step 2: Find the prime factorization of 710

710 = 2 x 5 x 71

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

LCM = 501970 = 2 x 5 x 7 x 71 x 101

Step 4: Therefore, the least common multiple of 707 and 710 is 501970.