Least Common Multiple of 708 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 708 and 710 the smallest integer that is 251340 that is divisible by both numbers.

Least Common Multiple (LCM) of 708 and 710 is 251340.

LCM(708,710) = 251340

LCM of 708 and 710

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

LCM of:
and

Least Common Multiple of 708 and 710

LCM of 708 and 710 is 251340

Least common multiple can be found by multiplying the highest exponent prime factors of 708 and 710. First we will calculate the prime factors of 708 and 710.

Prime Factorization of 708


2 708
2 354
3 177
59 59
1

Prime factors of 708 are 2, 3,59. Prime factorization of 708 in exponential form is:

708 = 22×31×591

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 708 and 710.

LCM(708,710) = 22×31×51×591×711
LCM(708,710) = 251340

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 708 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 708 and 710, than apply into the LCM equation.

GCF(708,710) = 2
LCM(708,710) = ( 708 × 710) / 2
LCM(708,710) = 502680 / 2
LCM(708,710) = 251340

Properties of LCM 708 and 710

(i) The LCM of 710 and 708 is associative

LCM of 708 and 710 = LCM of 710 and 708

Related Least Common Multiples of 708

Related Least Common Multiples of 710

Frequently Asked Questions on LCM of 708 and 710

1. What is the LCM of 708 and 710?

Answer: LCM of 708 and 710 is 251340.

2. What are the Factors of 708?

Answer: Factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708. There are 12 integers that are factors of 708. The greatest factor of 708 is 708.

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 708 and 710?

Answer:

Least Common Multiple of 708 and 710 = 251340

Step 1: Find the prime factorization of 708

708 = 2 x 2 x 3 x 59

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 = 251340 = 2 x 2 x 3 x 5 x 59 x 71

Step 4: Therefore, the least common multiple of 708 and 710 is 251340.