Least Common Multiple of 7720 and 7726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7720 and 7726 the smallest integer that is 29822360 that is divisible by both numbers.

Least Common Multiple (LCM) of 7720 and 7726 is 29822360.

LCM(7720,7726) = 29822360

LCM of 7720 and 7726

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

LCM of:
and

Least Common Multiple of 7720 and 7726

LCM of 7720 and 7726 is 29822360

Least common multiple can be found by multiplying the highest exponent prime factors of 7720 and 7726. First we will calculate the prime factors of 7720 and 7726.

Prime Factorization of 7720


2 7720
2 3860
2 1930
5 965
193 193
1

Prime factors of 7720 are 2, 5,193. Prime factorization of 7720 in exponential form is:

7720 = 23×51×1931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7720 and 7726.

LCM(7720,7726) = 23×51×1931×38631
LCM(7720,7726) = 29822360

Factors of 7720

List of positive integer factors of 7720 that divides 7720 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720

Factors of 7726

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

1, 2, 3863, 7726

Least Common Multiple of 7720 and 7726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7720 and 7726, than apply into the LCM equation.

GCF(7720,7726) = 2
LCM(7720,7726) = ( 7720 × 7726) / 2
LCM(7720,7726) = 59644720 / 2
LCM(7720,7726) = 29822360

Properties of LCM 7720 and 7726

(i) The LCM of 7726 and 7720 is associative

LCM of 7720 and 7726 = LCM of 7726 and 7720

Related Least Common Multiples of 7720

Related Least Common Multiples of 7726

Frequently Asked Questions on LCM of 7720 and 7726

1. What is the LCM of 7720 and 7726?

Answer: LCM of 7720 and 7726 is 29822360.

2. What are the Factors of 7720?

Answer: Factors of 7720 are 1, 2, 4, 5, 8, 10, 20, 40, 193, 386, 772, 965, 1544, 1930, 3860, 7720. There are 16 integers that are factors of 7720. The greatest factor of 7720 is 7720.

3. 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.

4. How to Find the LCM of 7720 and 7726?

Answer:

Least Common Multiple of 7720 and 7726 = 29822360

Step 1: Find the prime factorization of 7720

7720 = 2 x 2 x 2 x 5 x 193

Step 2: Find the prime factorization of 7726

7726 = 2 x 3863

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

LCM = 29822360 = 2 x 2 x 2 x 5 x 193 x 3863

Step 4: Therefore, the least common multiple of 7720 and 7726 is 29822360.