Least Common Multiple of 7715 and 7722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7715 and 7722 the smallest integer that is 59575230 that is divisible by both numbers.

Least Common Multiple (LCM) of 7715 and 7722 is 59575230.

LCM(7715,7722) = 59575230

LCM of 7715 and 7722

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

LCM of:
and

Least Common Multiple of 7715 and 7722

LCM of 7715 and 7722 is 59575230

Least common multiple can be found by multiplying the highest exponent prime factors of 7715 and 7722. First we will calculate the prime factors of 7715 and 7722.

Prime Factorization of 7715


5 7715
1543 1543
1

Prime factors of 7715 are 5,1543. Prime factorization of 7715 in exponential form is:

7715 = 51×15431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7715 and 7722.

LCM(7715,7722) = 21×33×51×111×131×15431
LCM(7715,7722) = 59575230

Factors of 7715

List of positive integer factors of 7715 that divides 7715 without a remainder.

1, 5, 1543, 7715

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

Least Common Multiple of 7715 and 7722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7715 and 7722, than apply into the LCM equation.

GCF(7715,7722) = 1
LCM(7715,7722) = ( 7715 × 7722) / 1
LCM(7715,7722) = 59575230 / 1
LCM(7715,7722) = 59575230

Properties of LCM 7715 and 7722

(i) The LCM of 7722 and 7715 is associative

LCM of 7715 and 7722 = LCM of 7722 and 7715

Related Least Common Multiples of 7715

Related Least Common Multiples of 7722

Frequently Asked Questions on LCM of 7715 and 7722

1. What is the LCM of 7715 and 7722?

Answer: LCM of 7715 and 7722 is 59575230.

2. What are the Factors of 7715?

Answer: Factors of 7715 are 1, 5, 1543, 7715. There are 4 integers that are factors of 7715. The greatest factor of 7715 is 7715.

3. 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.

4. How to Find the LCM of 7715 and 7722?

Answer:

Least Common Multiple of 7715 and 7722 = 59575230

Step 1: Find the prime factorization of 7715

7715 = 5 x 1543

Step 2: Find the prime factorization of 7722

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

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

LCM = 59575230 = 2 x 3 x 3 x 3 x 5 x 11 x 13 x 1543

Step 4: Therefore, the least common multiple of 7715 and 7722 is 59575230.