Least Common Multiple of 708 and 714

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 714 the smallest integer that is 84252 that is divisible by both numbers.

Least Common Multiple (LCM) of 708 and 714 is 84252.

LCM(708,714) = 84252

LCM of 708 and 714

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

LCM of:
and

Least Common Multiple of 708 and 714

LCM of 708 and 714 is 84252

Least common multiple can be found by multiplying the highest exponent prime factors of 708 and 714. First we will calculate the prime factors of 708 and 714.

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 714


2 714
3 357
7 119
17 17
1

Prime factors of 714 are 2, 3, 7,17. Prime factorization of 714 in exponential form is:

714 = 21×31×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 708 and 714.

LCM(708,714) = 22×31×71×171×591
LCM(708,714) = 84252

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 714

List of positive integer factors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Least Common Multiple of 708 and 714 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 714, than apply into the LCM equation.

GCF(708,714) = 6
LCM(708,714) = ( 708 × 714) / 6
LCM(708,714) = 505512 / 6
LCM(708,714) = 84252

Properties of LCM 708 and 714

(i) The LCM of 714 and 708 is associative

LCM of 708 and 714 = LCM of 714 and 708

Related Least Common Multiples of 708

Related Least Common Multiples of 714

Frequently Asked Questions on LCM of 708 and 714

1. What is the LCM of 708 and 714?

Answer: LCM of 708 and 714 is 84252.

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 714?

Answer: Factors of 714 are 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714. There are 16 integers that are factors of 714. The greatest factor of 714 is 714.

4. How to Find the LCM of 708 and 714?

Answer:

Least Common Multiple of 708 and 714 = 84252

Step 1: Find the prime factorization of 708

708 = 2 x 2 x 3 x 59

Step 2: Find the prime factorization of 714

714 = 2 x 3 x 7 x 17

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

LCM = 84252 = 2 x 2 x 3 x 7 x 17 x 59

Step 4: Therefore, the least common multiple of 708 and 714 is 84252.