Least Common Multiple of 711 and 715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 711 and 715 the smallest integer that is 508365 that is divisible by both numbers.

Least Common Multiple (LCM) of 711 and 715 is 508365.

LCM(711,715) = 508365

LCM of 711 and 715

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

LCM of:
and

Least Common Multiple of 711 and 715

LCM of 711 and 715 is 508365

Least common multiple can be found by multiplying the highest exponent prime factors of 711 and 715. First we will calculate the prime factors of 711 and 715.

Prime Factorization of 711


3 711
3 237
79 79
1

Prime factors of 711 are 3,79. Prime factorization of 711 in exponential form is:

711 = 32×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 711 and 715.

LCM(711,715) = 32×51×111×131×791
LCM(711,715) = 508365

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Factors of 715

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

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

Least Common Multiple of 711 and 715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 711 and 715, than apply into the LCM equation.

GCF(711,715) = 1
LCM(711,715) = ( 711 × 715) / 1
LCM(711,715) = 508365 / 1
LCM(711,715) = 508365

Properties of LCM 711 and 715

(i) The LCM of 715 and 711 is associative

LCM of 711 and 715 = LCM of 715 and 711

Related Least Common Multiples of 711

Related Least Common Multiples of 715

Frequently Asked Questions on LCM of 711 and 715

1. What is the LCM of 711 and 715?

Answer: LCM of 711 and 715 is 508365.

2. What are the Factors of 711?

Answer: Factors of 711 are 1, 3, 9, 79, 237, 711. There are 6 integers that are factors of 711. The greatest factor of 711 is 711.

3. 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.

4. How to Find the LCM of 711 and 715?

Answer:

Least Common Multiple of 711 and 715 = 508365

Step 1: Find the prime factorization of 711

711 = 3 x 3 x 79

Step 2: Find the prime factorization of 715

715 = 5 x 11 x 13

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

LCM = 508365 = 3 x 3 x 5 x 11 x 13 x 79

Step 4: Therefore, the least common multiple of 711 and 715 is 508365.