Least Common Multiple of 712 and 716

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 716 the smallest integer that is 127448 that is divisible by both numbers.

Least Common Multiple (LCM) of 712 and 716 is 127448.

LCM(712,716) = 127448

LCM of 712 and 716

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

LCM of:
and

Least Common Multiple of 712 and 716

LCM of 712 and 716 is 127448

Least common multiple can be found by multiplying the highest exponent prime factors of 712 and 716. First we will calculate the prime factors of 712 and 716.

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 716


2 716
2 358
179 179
1

Prime factors of 716 are 2,179. Prime factorization of 716 in exponential form is:

716 = 22×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 712 and 716.

LCM(712,716) = 23×891×1791
LCM(712,716) = 127448

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 716

List of positive integer factors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Least Common Multiple of 712 and 716 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 716, than apply into the LCM equation.

GCF(712,716) = 4
LCM(712,716) = ( 712 × 716) / 4
LCM(712,716) = 509792 / 4
LCM(712,716) = 127448

Properties of LCM 712 and 716

(i) The LCM of 716 and 712 is associative

LCM of 712 and 716 = LCM of 716 and 712

Related Least Common Multiples of 712

Related Least Common Multiples of 716

Frequently Asked Questions on LCM of 712 and 716

1. What is the LCM of 712 and 716?

Answer: LCM of 712 and 716 is 127448.

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 716?

Answer: Factors of 716 are 1, 2, 4, 179, 358, 716. There are 6 integers that are factors of 716. The greatest factor of 716 is 716.

4. How to Find the LCM of 712 and 716?

Answer:

Least Common Multiple of 712 and 716 = 127448

Step 1: Find the prime factorization of 712

712 = 2 x 2 x 2 x 89

Step 2: Find the prime factorization of 716

716 = 2 x 2 x 179

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

LCM = 127448 = 2 x 2 x 2 x 89 x 179

Step 4: Therefore, the least common multiple of 712 and 716 is 127448.