Least Common Multiple of 721 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 721 and 722 the smallest integer that is 520562 that is divisible by both numbers.

Least Common Multiple (LCM) of 721 and 722 is 520562.

LCM(721,722) = 520562

LCM of 721 and 722

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

LCM of:
and

Least Common Multiple of 721 and 722

LCM of 721 and 722 is 520562

Least common multiple can be found by multiplying the highest exponent prime factors of 721 and 722. First we will calculate the prime factors of 721 and 722.

Prime Factorization of 721


7 721
103 103
1

Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:

721 = 71×1031

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 721 and 722.

LCM(721,722) = 21×71×192×1031
LCM(721,722) = 520562

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 721 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 721 and 722, than apply into the LCM equation.

GCF(721,722) = 1
LCM(721,722) = ( 721 × 722) / 1
LCM(721,722) = 520562 / 1
LCM(721,722) = 520562

Properties of LCM 721 and 722

(i) The LCM of 722 and 721 is associative

LCM of 721 and 722 = LCM of 722 and 721

Related Least Common Multiples of 721

Related Least Common Multiples of 722

Frequently Asked Questions on LCM of 721 and 722

1. What is the LCM of 721 and 722?

Answer: LCM of 721 and 722 is 520562.

2. What are the Factors of 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

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 721 and 722?

Answer:

Least Common Multiple of 721 and 722 = 520562

Step 1: Find the prime factorization of 721

721 = 7 x 103

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 = 520562 = 2 x 7 x 19 x 19 x 103

Step 4: Therefore, the least common multiple of 721 and 722 is 520562.