Least Common Multiple of 7715 and 7723

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 7723 the smallest integer that is 59582945 that is divisible by both numbers.

Least Common Multiple (LCM) of 7715 and 7723 is 59582945.

LCM(7715,7723) = 59582945

LCM of 7715 and 7723

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

LCM of:
and

Least Common Multiple of 7715 and 7723

LCM of 7715 and 7723 is 59582945

Least common multiple can be found by multiplying the highest exponent prime factors of 7715 and 7723. First we will calculate the prime factors of 7715 and 7723.

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 7723


7723 7723
1

Prime factors of 7723 are 7723. Prime factorization of 7723 in exponential form is:

7723 = 77231

Now multiplying the highest exponent prime factors to calculate the LCM of 7715 and 7723.

LCM(7715,7723) = 51×15431×77231
LCM(7715,7723) = 59582945

Factors of 7715

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

1, 5, 1543, 7715

Factors of 7723

List of positive integer factors of 7723 that divides 7723 without a remainder.

1, 7723

Least Common Multiple of 7715 and 7723 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 7723, than apply into the LCM equation.

GCF(7715,7723) = 1
LCM(7715,7723) = ( 7715 × 7723) / 1
LCM(7715,7723) = 59582945 / 1
LCM(7715,7723) = 59582945

Properties of LCM 7715 and 7723

(i) The LCM of 7723 and 7715 is associative

LCM of 7715 and 7723 = LCM of 7723 and 7715

Related Least Common Multiples of 7715

Related Least Common Multiples of 7723

Frequently Asked Questions on LCM of 7715 and 7723

1. What is the LCM of 7715 and 7723?

Answer: LCM of 7715 and 7723 is 59582945.

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 7723?

Answer: Factors of 7723 are 1, 7723. There are 2 integers that are factors of 7723. The greatest factor of 7723 is 7723.

4. How to Find the LCM of 7715 and 7723?

Answer:

Least Common Multiple of 7715 and 7723 = 59582945

Step 1: Find the prime factorization of 7715

7715 = 5 x 1543

Step 2: Find the prime factorization of 7723

7723 = 7723

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

LCM = 59582945 = 5 x 1543 x 7723

Step 4: Therefore, the least common multiple of 7715 and 7723 is 59582945.