Least Common Multiple of 3755 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 3755 and 3762 the smallest integer that is 14126310 that is divisible by both numbers.

Least Common Multiple (LCM) of 3755 and 3762 is 14126310.

LCM(3755,3762) = 14126310

LCM of 3755 and 3762

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

LCM of:
and

Least Common Multiple of 3755 and 3762

LCM of 3755 and 3762 is 14126310

Least common multiple can be found by multiplying the highest exponent prime factors of 3755 and 3762. First we will calculate the prime factors of 3755 and 3762.

Prime Factorization of 3755


5 3755
751 751
1

Prime factors of 3755 are 5,751. Prime factorization of 3755 in exponential form is:

3755 = 51×7511

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 3755 and 3762.

LCM(3755,3762) = 21×32×51×111×191×7511
LCM(3755,3762) = 14126310

Factors of 3755

List of positive integer factors of 3755 that divides 3755 without a remainder.

1, 5, 751, 3755

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 3755 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 3755 and 3762, than apply into the LCM equation.

GCF(3755,3762) = 1
LCM(3755,3762) = ( 3755 × 3762) / 1
LCM(3755,3762) = 14126310 / 1
LCM(3755,3762) = 14126310

Properties of LCM 3755 and 3762

(i) The LCM of 3762 and 3755 is associative

LCM of 3755 and 3762 = LCM of 3762 and 3755

Related Least Common Multiples of 3755

Related Least Common Multiples of 3762

Frequently Asked Questions on LCM of 3755 and 3762

1. What is the LCM of 3755 and 3762?

Answer: LCM of 3755 and 3762 is 14126310.

2. What are the Factors of 3755?

Answer: Factors of 3755 are 1, 5, 751, 3755. There are 4 integers that are factors of 3755. The greatest factor of 3755 is 3755.

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 3755 and 3762?

Answer:

Least Common Multiple of 3755 and 3762 = 14126310

Step 1: Find the prime factorization of 3755

3755 = 5 x 751

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 = 14126310 = 2 x 3 x 3 x 5 x 11 x 19 x 751

Step 4: Therefore, the least common multiple of 3755 and 3762 is 14126310.