Least Common Multiple of 3756 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 3756 and 3762 the smallest integer that is 2355012 that is divisible by both numbers.

Least Common Multiple (LCM) of 3756 and 3762 is 2355012.

LCM(3756,3762) = 2355012

LCM of 3756 and 3762

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

LCM of:
and

Least Common Multiple of 3756 and 3762

LCM of 3756 and 3762 is 2355012

Least common multiple can be found by multiplying the highest exponent prime factors of 3756 and 3762. First we will calculate the prime factors of 3756 and 3762.

Prime Factorization of 3756


2 3756
2 1878
3 939
313 313
1

Prime factors of 3756 are 2, 3,313. Prime factorization of 3756 in exponential form is:

3756 = 22×31×3131

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 3756 and 3762.

LCM(3756,3762) = 22×32×111×191×3131
LCM(3756,3762) = 2355012

Factors of 3756

List of positive integer factors of 3756 that divides 3756 without a remainder.

1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878, 3756

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 3756 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 3756 and 3762, than apply into the LCM equation.

GCF(3756,3762) = 6
LCM(3756,3762) = ( 3756 × 3762) / 6
LCM(3756,3762) = 14130072 / 6
LCM(3756,3762) = 2355012

Properties of LCM 3756 and 3762

(i) The LCM of 3762 and 3756 is associative

LCM of 3756 and 3762 = LCM of 3762 and 3756

Related Least Common Multiples of 3756

Related Least Common Multiples of 3762

Frequently Asked Questions on LCM of 3756 and 3762

1. What is the LCM of 3756 and 3762?

Answer: LCM of 3756 and 3762 is 2355012.

2. What are the Factors of 3756?

Answer: Factors of 3756 are 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878, 3756. There are 12 integers that are factors of 3756. The greatest factor of 3756 is 3756.

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 3756 and 3762?

Answer:

Least Common Multiple of 3756 and 3762 = 2355012

Step 1: Find the prime factorization of 3756

3756 = 2 x 2 x 3 x 313

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 = 2355012 = 2 x 2 x 3 x 3 x 11 x 19 x 313

Step 4: Therefore, the least common multiple of 3756 and 3762 is 2355012.