Least Common Multiple of 7722 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 7722 and 7726 the smallest integer that is 29830086 that is divisible by both numbers.

Least Common Multiple (LCM) of 7722 and 7726 is 29830086.

LCM(7722,7726) = 29830086

LCM of 7722 and 7726

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

LCM of:
and

Least Common Multiple of 7722 and 7726

LCM of 7722 and 7726 is 29830086

Least common multiple can be found by multiplying the highest exponent prime factors of 7722 and 7726. First we will calculate the prime factors of 7722 and 7726.

Prime Factorization of 7722


2 7722
3 3861
3 1287
3 429
11 143
13 13
1

Prime factors of 7722 are 2, 3, 11,13. Prime factorization of 7722 in exponential form is:

7722 = 21×33×111×131

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 7722 and 7726.

LCM(7722,7726) = 21×33×111×131×38631
LCM(7722,7726) = 29830086

Factors of 7722

List of positive integer factors of 7722 that divides 7722 without a remainder.

1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722

Factors of 7726

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

1, 2, 3863, 7726

Least Common Multiple of 7722 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 7722 and 7726, than apply into the LCM equation.

GCF(7722,7726) = 2
LCM(7722,7726) = ( 7722 × 7726) / 2
LCM(7722,7726) = 59660172 / 2
LCM(7722,7726) = 29830086

Properties of LCM 7722 and 7726

(i) The LCM of 7726 and 7722 is associative

LCM of 7722 and 7726 = LCM of 7726 and 7722

Related Least Common Multiples of 7722

Related Least Common Multiples of 7726

Frequently Asked Questions on LCM of 7722 and 7726

1. What is the LCM of 7722 and 7726?

Answer: LCM of 7722 and 7726 is 29830086.

2. What are the Factors of 7722?

Answer: Factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722. There are 32 integers that are factors of 7722. The greatest factor of 7722 is 7722.

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 7722 and 7726?

Answer:

Least Common Multiple of 7722 and 7726 = 29830086

Step 1: Find the prime factorization of 7722

7722 = 2 x 3 x 3 x 3 x 11 x 13

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 = 29830086 = 2 x 3 x 3 x 3 x 11 x 13 x 3863

Step 4: Therefore, the least common multiple of 7722 and 7726 is 29830086.