Least Common Multiple of 715 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 715 and 716 the smallest integer that is 511940 that is divisible by both numbers.

Least Common Multiple (LCM) of 715 and 716 is 511940.

LCM(715,716) = 511940

LCM of 715 and 716

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

LCM of:
and

Least Common Multiple of 715 and 716

LCM of 715 and 716 is 511940

Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 716. First we will calculate the prime factors of 715 and 716.

Prime Factorization of 715


5 715
11 143
13 13
1

Prime factors of 715 are 5, 11,13. Prime factorization of 715 in exponential form is:

715 = 51×111×131

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 715 and 716.

LCM(715,716) = 22×51×111×131×1791
LCM(715,716) = 511940

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

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 715 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 715 and 716, than apply into the LCM equation.

GCF(715,716) = 1
LCM(715,716) = ( 715 × 716) / 1
LCM(715,716) = 511940 / 1
LCM(715,716) = 511940

Properties of LCM 715 and 716

(i) The LCM of 716 and 715 is associative

LCM of 715 and 716 = LCM of 716 and 715

Related Least Common Multiples of 715

Related Least Common Multiples of 716

Frequently Asked Questions on LCM of 715 and 716

1. What is the LCM of 715 and 716?

Answer: LCM of 715 and 716 is 511940.

2. What are the Factors of 715?

Answer: Factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715. There are 8 integers that are factors of 715. The greatest factor of 715 is 715.

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 715 and 716?

Answer:

Least Common Multiple of 715 and 716 = 511940

Step 1: Find the prime factorization of 715

715 = 5 x 11 x 13

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 = 511940 = 2 x 2 x 5 x 11 x 13 x 179

Step 4: Therefore, the least common multiple of 715 and 716 is 511940.