Least Common Multiple of 722 and 726

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 726 the smallest integer that is 262086 that is divisible by both numbers.

Least Common Multiple (LCM) of 722 and 726 is 262086.

LCM(722,726) = 262086

LCM of 722 and 726

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

LCM of:
and

Least Common Multiple of 722 and 726

LCM of 722 and 726 is 262086

Least common multiple can be found by multiplying the highest exponent prime factors of 722 and 726. First we will calculate the prime factors of 722 and 726.

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 726


2 726
3 363
11 121
11 11
1

Prime factors of 726 are 2, 3,11. Prime factorization of 726 in exponential form is:

726 = 21×31×112

Now multiplying the highest exponent prime factors to calculate the LCM of 722 and 726.

LCM(722,726) = 21×31×112×192
LCM(722,726) = 262086

Factors of 722

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

1, 2, 19, 38, 361, 722

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Least Common Multiple of 722 and 726 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 726, than apply into the LCM equation.

GCF(722,726) = 2
LCM(722,726) = ( 722 × 726) / 2
LCM(722,726) = 524172 / 2
LCM(722,726) = 262086

Properties of LCM 722 and 726

(i) The LCM of 726 and 722 is associative

LCM of 722 and 726 = LCM of 726 and 722

Related Least Common Multiples of 722

Related Least Common Multiples of 726

Frequently Asked Questions on LCM of 722 and 726

1. What is the LCM of 722 and 726?

Answer: LCM of 722 and 726 is 262086.

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 726?

Answer: Factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. There are 12 integers that are factors of 726. The greatest factor of 726 is 726.

4. How to Find the LCM of 722 and 726?

Answer:

Least Common Multiple of 722 and 726 = 262086

Step 1: Find the prime factorization of 722

722 = 2 x 19 x 19

Step 2: Find the prime factorization of 726

726 = 2 x 3 x 11 x 11

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

LCM = 262086 = 2 x 3 x 11 x 11 x 19 x 19

Step 4: Therefore, the least common multiple of 722 and 726 is 262086.