Least Common Multiple of 722 and 724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 722 and 724 the smallest integer that is 261364 that is divisible by both numbers.

Least Common Multiple (LCM) of 722 and 724 is 261364.

LCM(722,724) = 261364

LCM of 722 and 724

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

LCM of:
and

Least Common Multiple of 722 and 724

LCM of 722 and 724 is 261364

Least common multiple can be found by multiplying the highest exponent prime factors of 722 and 724. First we will calculate the prime factors of 722 and 724.

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

Prime Factorization of 724


2 724
2 362
181 181
1

Prime factors of 724 are 2,181. Prime factorization of 724 in exponential form is:

724 = 22×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 722 and 724.

LCM(722,724) = 22×192×1811
LCM(722,724) = 261364

Factors of 722

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

1, 2, 19, 38, 361, 722

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Least Common Multiple of 722 and 724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 722 and 724, than apply into the LCM equation.

GCF(722,724) = 2
LCM(722,724) = ( 722 × 724) / 2
LCM(722,724) = 522728 / 2
LCM(722,724) = 261364

Properties of LCM 722 and 724

(i) The LCM of 724 and 722 is associative

LCM of 722 and 724 = LCM of 724 and 722

Related Least Common Multiples of 722

Related Least Common Multiples of 724

Frequently Asked Questions on LCM of 722 and 724

1. What is the LCM of 722 and 724?

Answer: LCM of 722 and 724 is 261364.

2. 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.

3. What are the Factors of 724?

Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.

4. How to Find the LCM of 722 and 724?

Answer:

Least Common Multiple of 722 and 724 = 261364

Step 1: Find the prime factorization of 722

722 = 2 x 19 x 19

Step 2: Find the prime factorization of 724

724 = 2 x 2 x 181

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

LCM = 261364 = 2 x 2 x 19 x 19 x 181

Step 4: Therefore, the least common multiple of 722 and 724 is 261364.