Least Common Multiple of 3762 and 3766

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 3766 the smallest integer that is 7083846 that is divisible by both numbers.

Least Common Multiple (LCM) of 3762 and 3766 is 7083846.

LCM(3762,3766) = 7083846

LCM of 3762 and 3766

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

LCM of:
and

Least Common Multiple of 3762 and 3766

LCM of 3762 and 3766 is 7083846

Least common multiple can be found by multiplying the highest exponent prime factors of 3762 and 3766. First we will calculate the prime factors of 3762 and 3766.

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 3766


2 3766
7 1883
269 269
1

Prime factors of 3766 are 2, 7,269. Prime factorization of 3766 in exponential form is:

3766 = 21×71×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 3762 and 3766.

LCM(3762,3766) = 21×32×71×111×191×2691
LCM(3762,3766) = 7083846

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 3766

List of positive integer factors of 3766 that divides 3766 without a remainder.

1, 2, 7, 14, 269, 538, 1883, 3766

Least Common Multiple of 3762 and 3766 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 3766, than apply into the LCM equation.

GCF(3762,3766) = 2
LCM(3762,3766) = ( 3762 × 3766) / 2
LCM(3762,3766) = 14167692 / 2
LCM(3762,3766) = 7083846

Properties of LCM 3762 and 3766

(i) The LCM of 3766 and 3762 is associative

LCM of 3762 and 3766 = LCM of 3766 and 3762

Related Least Common Multiples of 3762

Related Least Common Multiples of 3766

Frequently Asked Questions on LCM of 3762 and 3766

1. What is the LCM of 3762 and 3766?

Answer: LCM of 3762 and 3766 is 7083846.

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 3766?

Answer: Factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766. There are 8 integers that are factors of 3766. The greatest factor of 3766 is 3766.

4. How to Find the LCM of 3762 and 3766?

Answer:

Least Common Multiple of 3762 and 3766 = 7083846

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 3766

3766 = 2 x 7 x 269

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

LCM = 7083846 = 2 x 3 x 3 x 7 x 11 x 19 x 269

Step 4: Therefore, the least common multiple of 3762 and 3766 is 7083846.