Least Common Multiple of 3712 and 3718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3712 and 3718 the smallest integer that is 6900608 that is divisible by both numbers.

Least Common Multiple (LCM) of 3712 and 3718 is 6900608.

LCM(3712,3718) = 6900608

LCM of 3712 and 3718

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

LCM of:
and

Least Common Multiple of 3712 and 3718

LCM of 3712 and 3718 is 6900608

Least common multiple can be found by multiplying the highest exponent prime factors of 3712 and 3718. First we will calculate the prime factors of 3712 and 3718.

Prime Factorization of 3712


2 3712
2 1856
2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 3712 are 2,29. Prime factorization of 3712 in exponential form is:

3712 = 27×291

Prime Factorization of 3718


2 3718
11 1859
13 169
13 13
1

Prime factors of 3718 are 2, 11,13. Prime factorization of 3718 in exponential form is:

3718 = 21×111×132

Now multiplying the highest exponent prime factors to calculate the LCM of 3712 and 3718.

LCM(3712,3718) = 27×111×132×291
LCM(3712,3718) = 6900608

Factors of 3712

List of positive integer factors of 3712 that divides 3712 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712

Factors of 3718

List of positive integer factors of 3718 that divides 3718 without a remainder.

1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718

Least Common Multiple of 3712 and 3718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3712 and 3718, than apply into the LCM equation.

GCF(3712,3718) = 2
LCM(3712,3718) = ( 3712 × 3718) / 2
LCM(3712,3718) = 13801216 / 2
LCM(3712,3718) = 6900608

Properties of LCM 3712 and 3718

(i) The LCM of 3718 and 3712 is associative

LCM of 3712 and 3718 = LCM of 3718 and 3712

Related Least Common Multiples of 3712

Related Least Common Multiples of 3718

Frequently Asked Questions on LCM of 3712 and 3718

1. What is the LCM of 3712 and 3718?

Answer: LCM of 3712 and 3718 is 6900608.

2. What are the Factors of 3712?

Answer: Factors of 3712 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712. There are 16 integers that are factors of 3712. The greatest factor of 3712 is 3712.

3. What are the Factors of 3718?

Answer: Factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718. There are 12 integers that are factors of 3718. The greatest factor of 3718 is 3718.

4. How to Find the LCM of 3712 and 3718?

Answer:

Least Common Multiple of 3712 and 3718 = 6900608

Step 1: Find the prime factorization of 3712

3712 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29

Step 2: Find the prime factorization of 3718

3718 = 2 x 11 x 13 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 = 6900608 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 13 x 13 x 29

Step 4: Therefore, the least common multiple of 3712 and 3718 is 6900608.