Least Common Multiple of 3762 and 3768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3762 and 3768 the smallest integer that is 2362536 that is divisible by both numbers.

Least Common Multiple (LCM) of 3762 and 3768 is 2362536.

LCM(3762,3768) = 2362536

LCM of 3762 and 3768

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

LCM of:
and

Least Common Multiple of 3762 and 3768

LCM of 3762 and 3768 is 2362536

Least common multiple can be found by multiplying the highest exponent prime factors of 3762 and 3768. First we will calculate the prime factors of 3762 and 3768.

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

Prime Factorization of 3768


2 3768
2 1884
2 942
3 471
157 157
1

Prime factors of 3768 are 2, 3,157. Prime factorization of 3768 in exponential form is:

3768 = 23×31×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3762 and 3768.

LCM(3762,3768) = 23×32×111×191×1571
LCM(3762,3768) = 2362536

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

Factors of 3768

List of positive integer factors of 3768 that divides 3768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768

Least Common Multiple of 3762 and 3768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3762 and 3768, than apply into the LCM equation.

GCF(3762,3768) = 6
LCM(3762,3768) = ( 3762 × 3768) / 6
LCM(3762,3768) = 14175216 / 6
LCM(3762,3768) = 2362536

Properties of LCM 3762 and 3768

(i) The LCM of 3768 and 3762 is associative

LCM of 3762 and 3768 = LCM of 3768 and 3762

Related Least Common Multiples of 3762

Related Least Common Multiples of 3768

Frequently Asked Questions on LCM of 3762 and 3768

1. What is the LCM of 3762 and 3768?

Answer: LCM of 3762 and 3768 is 2362536.

2. 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.

3. What are the Factors of 3768?

Answer: Factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768. There are 16 integers that are factors of 3768. The greatest factor of 3768 is 3768.

4. How to Find the LCM of 3762 and 3768?

Answer:

Least Common Multiple of 3762 and 3768 = 2362536

Step 1: Find the prime factorization of 3762

3762 = 2 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 3768

3768 = 2 x 2 x 2 x 3 x 157

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

LCM = 2362536 = 2 x 2 x 2 x 3 x 3 x 11 x 19 x 157

Step 4: Therefore, the least common multiple of 3762 and 3768 is 2362536.