Least Common Multiple of 715 and 722

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 722 the smallest integer that is 516230 that is divisible by both numbers.

Least Common Multiple (LCM) of 715 and 722 is 516230.

LCM(715,722) = 516230

LCM of 715 and 722

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

LCM of:
and

Least Common Multiple of 715 and 722

LCM of 715 and 722 is 516230

Least common multiple can be found by multiplying the highest exponent prime factors of 715 and 722. First we will calculate the prime factors of 715 and 722.

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 722


2 722
19 361
19 19
1

Prime factors of 722 are 2,19. Prime factorization of 722 in exponential form is:

722 = 21×192

Now multiplying the highest exponent prime factors to calculate the LCM of 715 and 722.

LCM(715,722) = 21×51×111×131×192
LCM(715,722) = 516230

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 722

List of positive integer factors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Least Common Multiple of 715 and 722 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 722, than apply into the LCM equation.

GCF(715,722) = 1
LCM(715,722) = ( 715 × 722) / 1
LCM(715,722) = 516230 / 1
LCM(715,722) = 516230

Properties of LCM 715 and 722

(i) The LCM of 722 and 715 is associative

LCM of 715 and 722 = LCM of 722 and 715

Related Least Common Multiples of 715

Related Least Common Multiples of 722

Frequently Asked Questions on LCM of 715 and 722

1. What is the LCM of 715 and 722?

Answer: LCM of 715 and 722 is 516230.

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 722?

Answer: Factors of 722 are 1, 2, 19, 38, 361, 722. There are 6 integers that are factors of 722. The greatest factor of 722 is 722.

4. How to Find the LCM of 715 and 722?

Answer:

Least Common Multiple of 715 and 722 = 516230

Step 1: Find the prime factorization of 715

715 = 5 x 11 x 13

Step 2: Find the prime factorization of 722

722 = 2 x 19 x 19

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

LCM = 516230 = 2 x 5 x 11 x 13 x 19 x 19

Step 4: Therefore, the least common multiple of 715 and 722 is 516230.