Least Common Multiple of 712 and 713

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 713 the smallest integer that is 507656 that is divisible by both numbers.

Least Common Multiple (LCM) of 712 and 713 is 507656.

LCM(712,713) = 507656

LCM of 712 and 713

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

LCM of:
and

Least Common Multiple of 712 and 713

LCM of 712 and 713 is 507656

Least common multiple can be found by multiplying the highest exponent prime factors of 712 and 713. First we will calculate the prime factors of 712 and 713.

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 713


23 713
31 31
1

Prime factors of 713 are 23,31. Prime factorization of 713 in exponential form is:

713 = 231×311

Now multiplying the highest exponent prime factors to calculate the LCM of 712 and 713.

LCM(712,713) = 23×231×311×891
LCM(712,713) = 507656

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 713

List of positive integer factors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Least Common Multiple of 712 and 713 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 713, than apply into the LCM equation.

GCF(712,713) = 1
LCM(712,713) = ( 712 × 713) / 1
LCM(712,713) = 507656 / 1
LCM(712,713) = 507656

Properties of LCM 712 and 713

(i) The LCM of 713 and 712 is associative

LCM of 712 and 713 = LCM of 713 and 712

Related Least Common Multiples of 712

Related Least Common Multiples of 713

Frequently Asked Questions on LCM of 712 and 713

1. What is the LCM of 712 and 713?

Answer: LCM of 712 and 713 is 507656.

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 713?

Answer: Factors of 713 are 1, 23, 31, 713. There are 4 integers that are factors of 713. The greatest factor of 713 is 713.

4. How to Find the LCM of 712 and 713?

Answer:

Least Common Multiple of 712 and 713 = 507656

Step 1: Find the prime factorization of 712

712 = 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 713

713 = 23 x 31

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

LCM = 507656 = 2 x 2 x 2 x 23 x 31 x 89

Step 4: Therefore, the least common multiple of 712 and 713 is 507656.