Least Common Multiple of 712 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 712 and 714 the smallest integer that is 254184 that is divisible by both numbers.

Least Common Multiple (LCM) of 712 and 714 is 254184.

LCM(712,714) = 254184

LCM of 712 and 714

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

LCM of:
and

Least Common Multiple of 712 and 714

LCM of 712 and 714 is 254184

Least common multiple can be found by multiplying the highest exponent prime factors of 712 and 714. First we will calculate the prime factors of 712 and 714.

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

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 712 and 714.

LCM(712,714) = 23×31×71×171×891
LCM(712,714) = 254184

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 712 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 712 and 714, than apply into the LCM equation.

GCF(712,714) = 2
LCM(712,714) = ( 712 × 714) / 2
LCM(712,714) = 508368 / 2
LCM(712,714) = 254184

Properties of LCM 712 and 714

(i) The LCM of 714 and 712 is associative

LCM of 712 and 714 = LCM of 714 and 712

Related Least Common Multiples of 712

Related Least Common Multiples of 714

Frequently Asked Questions on LCM of 712 and 714

1. What is the LCM of 712 and 714?

Answer: LCM of 712 and 714 is 254184.

2. 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.

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 712 and 714?

Answer:

Least Common Multiple of 712 and 714 = 254184

Step 1: Find the prime factorization of 712

712 = 2 x 2 x 2 x 89

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 = 254184 = 2 x 2 x 2 x 3 x 7 x 17 x 89

Step 4: Therefore, the least common multiple of 712 and 714 is 254184.