Least Common Multiple of 712 and 720

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 720 the smallest integer that is 64080 that is divisible by both numbers.

Least Common Multiple (LCM) of 712 and 720 is 64080.

LCM(712,720) = 64080

LCM of 712 and 720

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

LCM of:
and

Least Common Multiple of 712 and 720

LCM of 712 and 720 is 64080

Least common multiple can be found by multiplying the highest exponent prime factors of 712 and 720. First we will calculate the prime factors of 712 and 720.

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 720


2 720
2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 720 are 2, 3,5. Prime factorization of 720 in exponential form is:

720 = 24×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 712 and 720.

LCM(712,720) = 24×32×51×891
LCM(712,720) = 64080

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 720

List of positive integer factors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Least Common Multiple of 712 and 720 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 720, than apply into the LCM equation.

GCF(712,720) = 8
LCM(712,720) = ( 712 × 720) / 8
LCM(712,720) = 512640 / 8
LCM(712,720) = 64080

Properties of LCM 712 and 720

(i) The LCM of 720 and 712 is associative

LCM of 712 and 720 = LCM of 720 and 712

Related Least Common Multiples of 712

Related Least Common Multiples of 720

Frequently Asked Questions on LCM of 712 and 720

1. What is the LCM of 712 and 720?

Answer: LCM of 712 and 720 is 64080.

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 720?

Answer: Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. There are 30 integers that are factors of 720. The greatest factor of 720 is 720.

4. How to Find the LCM of 712 and 720?

Answer:

Least Common Multiple of 712 and 720 = 64080

Step 1: Find the prime factorization of 712

712 = 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 720

720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

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

LCM = 64080 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 89

Step 4: Therefore, the least common multiple of 712 and 720 is 64080.