Least Common Multiple of 3708 and 3715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3708 and 3715 the smallest integer that is 13775220 that is divisible by both numbers.

Least Common Multiple (LCM) of 3708 and 3715 is 13775220.

LCM(3708,3715) = 13775220

LCM of 3708 and 3715

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

LCM of:
and

Least Common Multiple of 3708 and 3715

LCM of 3708 and 3715 is 13775220

Least common multiple can be found by multiplying the highest exponent prime factors of 3708 and 3715. First we will calculate the prime factors of 3708 and 3715.

Prime Factorization of 3708


2 3708
2 1854
3 927
3 309
103 103
1

Prime factors of 3708 are 2, 3,103. Prime factorization of 3708 in exponential form is:

3708 = 22×32×1031

Prime Factorization of 3715


5 3715
743 743
1

Prime factors of 3715 are 5,743. Prime factorization of 3715 in exponential form is:

3715 = 51×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 3708 and 3715.

LCM(3708,3715) = 22×32×51×1031×7431
LCM(3708,3715) = 13775220

Factors of 3708

List of positive integer factors of 3708 that divides 3708 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708

Factors of 3715

List of positive integer factors of 3715 that divides 3715 without a remainder.

1, 5, 743, 3715

Least Common Multiple of 3708 and 3715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3708 and 3715, than apply into the LCM equation.

GCF(3708,3715) = 1
LCM(3708,3715) = ( 3708 × 3715) / 1
LCM(3708,3715) = 13775220 / 1
LCM(3708,3715) = 13775220

Properties of LCM 3708 and 3715

(i) The LCM of 3715 and 3708 is associative

LCM of 3708 and 3715 = LCM of 3715 and 3708

Related Least Common Multiples of 3708

Related Least Common Multiples of 3715

Frequently Asked Questions on LCM of 3708 and 3715

1. What is the LCM of 3708 and 3715?

Answer: LCM of 3708 and 3715 is 13775220.

2. What are the Factors of 3708?

Answer: Factors of 3708 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 103, 206, 309, 412, 618, 927, 1236, 1854, 3708. There are 18 integers that are factors of 3708. The greatest factor of 3708 is 3708.

3. What are the Factors of 3715?

Answer: Factors of 3715 are 1, 5, 743, 3715. There are 4 integers that are factors of 3715. The greatest factor of 3715 is 3715.

4. How to Find the LCM of 3708 and 3715?

Answer:

Least Common Multiple of 3708 and 3715 = 13775220

Step 1: Find the prime factorization of 3708

3708 = 2 x 2 x 3 x 3 x 103

Step 2: Find the prime factorization of 3715

3715 = 5 x 743

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

LCM = 13775220 = 2 x 2 x 3 x 3 x 5 x 103 x 743

Step 4: Therefore, the least common multiple of 3708 and 3715 is 13775220.