Least Common Multiple of 7726 and 7730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7726 and 7730 the smallest integer that is 29860990 that is divisible by both numbers.

Least Common Multiple (LCM) of 7726 and 7730 is 29860990.

LCM(7726,7730) = 29860990

LCM of 7726 and 7730

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

LCM of:
and

Least Common Multiple of 7726 and 7730

LCM of 7726 and 7730 is 29860990

Least common multiple can be found by multiplying the highest exponent prime factors of 7726 and 7730. First we will calculate the prime factors of 7726 and 7730.

Prime Factorization of 7726


2 7726
3863 3863
1

Prime factors of 7726 are 2,3863. Prime factorization of 7726 in exponential form is:

7726 = 21×38631

Prime Factorization of 7730


2 7730
5 3865
773 773
1

Prime factors of 7730 are 2, 5,773. Prime factorization of 7730 in exponential form is:

7730 = 21×51×7731

Now multiplying the highest exponent prime factors to calculate the LCM of 7726 and 7730.

LCM(7726,7730) = 21×51×7731×38631
LCM(7726,7730) = 29860990

Factors of 7726

List of positive integer factors of 7726 that divides 7726 without a remainder.

1, 2, 3863, 7726

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1, 2, 5, 10, 773, 1546, 3865, 7730

Least Common Multiple of 7726 and 7730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7726 and 7730, than apply into the LCM equation.

GCF(7726,7730) = 2
LCM(7726,7730) = ( 7726 × 7730) / 2
LCM(7726,7730) = 59721980 / 2
LCM(7726,7730) = 29860990

Properties of LCM 7726 and 7730

(i) The LCM of 7730 and 7726 is associative

LCM of 7726 and 7730 = LCM of 7730 and 7726

Related Least Common Multiples of 7726

Related Least Common Multiples of 7730

Frequently Asked Questions on LCM of 7726 and 7730

1. What is the LCM of 7726 and 7730?

Answer: LCM of 7726 and 7730 is 29860990.

2. What are the Factors of 7726?

Answer: Factors of 7726 are 1, 2, 3863, 7726. There are 4 integers that are factors of 7726. The greatest factor of 7726 is 7726.

3. What are the Factors of 7730?

Answer: Factors of 7730 are 1, 2, 5, 10, 773, 1546, 3865, 7730. There are 8 integers that are factors of 7730. The greatest factor of 7730 is 7730.

4. How to Find the LCM of 7726 and 7730?

Answer:

Least Common Multiple of 7726 and 7730 = 29860990

Step 1: Find the prime factorization of 7726

7726 = 2 x 3863

Step 2: Find the prime factorization of 7730

7730 = 2 x 5 x 773

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

LCM = 29860990 = 2 x 5 x 773 x 3863

Step 4: Therefore, the least common multiple of 7726 and 7730 is 29860990.