Least Common Multiple of 7708 and 7715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7708 and 7715 the smallest integer that is 59467220 that is divisible by both numbers.

Least Common Multiple (LCM) of 7708 and 7715 is 59467220.

LCM(7708,7715) = 59467220

LCM of 7708 and 7715

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

LCM of:
and

Least Common Multiple of 7708 and 7715

LCM of 7708 and 7715 is 59467220

Least common multiple can be found by multiplying the highest exponent prime factors of 7708 and 7715. First we will calculate the prime factors of 7708 and 7715.

Prime Factorization of 7708


2 7708
2 3854
41 1927
47 47
1

Prime factors of 7708 are 2, 41,47. Prime factorization of 7708 in exponential form is:

7708 = 22×411×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7708 and 7715.

LCM(7708,7715) = 22×51×411×471×15431
LCM(7708,7715) = 59467220

Factors of 7708

List of positive integer factors of 7708 that divides 7708 without a remainder.

1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708

Factors of 7715

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

1, 5, 1543, 7715

Least Common Multiple of 7708 and 7715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7708 and 7715, than apply into the LCM equation.

GCF(7708,7715) = 1
LCM(7708,7715) = ( 7708 × 7715) / 1
LCM(7708,7715) = 59467220 / 1
LCM(7708,7715) = 59467220

Properties of LCM 7708 and 7715

(i) The LCM of 7715 and 7708 is associative

LCM of 7708 and 7715 = LCM of 7715 and 7708

Related Least Common Multiples of 7708

Related Least Common Multiples of 7715

Frequently Asked Questions on LCM of 7708 and 7715

1. What is the LCM of 7708 and 7715?

Answer: LCM of 7708 and 7715 is 59467220.

2. What are the Factors of 7708?

Answer: Factors of 7708 are 1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708. There are 12 integers that are factors of 7708. The greatest factor of 7708 is 7708.

3. 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.

4. How to Find the LCM of 7708 and 7715?

Answer:

Least Common Multiple of 7708 and 7715 = 59467220

Step 1: Find the prime factorization of 7708

7708 = 2 x 2 x 41 x 47

Step 2: Find the prime factorization of 7715

7715 = 5 x 1543

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

LCM = 59467220 = 2 x 2 x 5 x 41 x 47 x 1543

Step 4: Therefore, the least common multiple of 7708 and 7715 is 59467220.