Least Common Multiple of 3757 and 3762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3757 and 3762 the smallest integer that is 14133834 that is divisible by both numbers.

Least Common Multiple (LCM) of 3757 and 3762 is 14133834.

LCM(3757,3762) = 14133834

LCM of 3757 and 3762

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

LCM of:
and

Least Common Multiple of 3757 and 3762

LCM of 3757 and 3762 is 14133834

Least common multiple can be found by multiplying the highest exponent prime factors of 3757 and 3762. First we will calculate the prime factors of 3757 and 3762.

Prime Factorization of 3757


13 3757
17 289
17 17
1

Prime factors of 3757 are 13,17. Prime factorization of 3757 in exponential form is:

3757 = 131×172

Prime Factorization of 3762


2 3762
3 1881
3 627
11 209
19 19
1

Prime factors of 3762 are 2, 3, 11,19. Prime factorization of 3762 in exponential form is:

3762 = 21×32×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 3757 and 3762.

LCM(3757,3762) = 21×32×111×131×172×191
LCM(3757,3762) = 14133834

Factors of 3757

List of positive integer factors of 3757 that divides 3757 without a remainder.

1, 13, 17, 221, 289, 3757

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762

Least Common Multiple of 3757 and 3762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3757 and 3762, than apply into the LCM equation.

GCF(3757,3762) = 1
LCM(3757,3762) = ( 3757 × 3762) / 1
LCM(3757,3762) = 14133834 / 1
LCM(3757,3762) = 14133834

Properties of LCM 3757 and 3762

(i) The LCM of 3762 and 3757 is associative

LCM of 3757 and 3762 = LCM of 3762 and 3757

Related Least Common Multiples of 3757

Related Least Common Multiples of 3762

Frequently Asked Questions on LCM of 3757 and 3762

1. What is the LCM of 3757 and 3762?

Answer: LCM of 3757 and 3762 is 14133834.

2. What are the Factors of 3757?

Answer: Factors of 3757 are 1, 13, 17, 221, 289, 3757. There are 6 integers that are factors of 3757. The greatest factor of 3757 is 3757.

3. What are the Factors of 3762?

Answer: Factors of 3762 are 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762. There are 24 integers that are factors of 3762. The greatest factor of 3762 is 3762.

4. How to Find the LCM of 3757 and 3762?

Answer:

Least Common Multiple of 3757 and 3762 = 14133834

Step 1: Find the prime factorization of 3757

3757 = 13 x 17 x 17

Step 2: Find the prime factorization of 3762

3762 = 2 x 3 x 3 x 11 x 19

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

LCM = 14133834 = 2 x 3 x 3 x 11 x 13 x 17 x 17 x 19

Step 4: Therefore, the least common multiple of 3757 and 3762 is 14133834.