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Least Common Multiple of 721 and 726

Free LCM Calculator determines the least common multiple (LCM) between 721 and 726 the smallest integer that is 523446 that is divisible by both numbers.

Least Common Multiple (LCM) of 721 and 726 is 523446.

LCM(721,726) = 523446

LCM of 721 and 726

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

LCM of:
and

Least Common Multiple (LCM) of 721 and 726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 721 and 726. First we will calculate the prime factors of 721 and 726.

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 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 721 and 726.

LCM(721,726) = 21×31×71×112×1031
LCM(721,726) = 523446

Factors of 721

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

1, 7, 103, 721

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 721 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 721 and 726, than apply into the LCM equation.

GCF(721,726) = 1
LCM(721,726) = ( 721 × 726) / 1
LCM(721,726) = 523446 / 1
LCM(721,726) = 523446

Properties of LCM 721 and 726

(i) The LCM of 726 and 721 is associative

LCM of 721 and 726 = LCM of 726 and 721

Frequently Asked Questions on LCM of 721 and 726

1. What is the LCM of 721 and 726?

Answer: LCM of 721 and 726 is 523446.

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 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 721 and 726?

Answer:

Least Common Multiple of 721 and 726 = 523446

Step 1: Find the prime factorization of 721

721 = 7 x 103

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 = 523446 = 2 x 3 x 7 x 11 x 11 x 103

Step 4: Therefore, the least common multiple of 721 and 726 is 523446.