Least Common Multiple of 3754 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 3754 and 3762 the smallest integer that is 7061274 that is divisible by both numbers.

Least Common Multiple (LCM) of 3754 and 3762 is 7061274.

LCM(3754,3762) = 7061274

LCM of 3754 and 3762

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

LCM of:
and

Least Common Multiple of 3754 and 3762

LCM of 3754 and 3762 is 7061274

Least common multiple can be found by multiplying the highest exponent prime factors of 3754 and 3762. First we will calculate the prime factors of 3754 and 3762.

Prime Factorization of 3754


2 3754
1877 1877
1

Prime factors of 3754 are 2,1877. Prime factorization of 3754 in exponential form is:

3754 = 21×18771

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 3754 and 3762.

LCM(3754,3762) = 21×32×111×191×18771
LCM(3754,3762) = 7061274

Factors of 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1, 2, 1877, 3754

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 3754 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 3754 and 3762, than apply into the LCM equation.

GCF(3754,3762) = 2
LCM(3754,3762) = ( 3754 × 3762) / 2
LCM(3754,3762) = 14122548 / 2
LCM(3754,3762) = 7061274

Properties of LCM 3754 and 3762

(i) The LCM of 3762 and 3754 is associative

LCM of 3754 and 3762 = LCM of 3762 and 3754

Related Least Common Multiples of 3754

Related Least Common Multiples of 3762

Frequently Asked Questions on LCM of 3754 and 3762

1. What is the LCM of 3754 and 3762?

Answer: LCM of 3754 and 3762 is 7061274.

2. What are the Factors of 3754?

Answer: Factors of 3754 are 1, 2, 1877, 3754. There are 4 integers that are factors of 3754. The greatest factor of 3754 is 3754.

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 3754 and 3762?

Answer:

Least Common Multiple of 3754 and 3762 = 7061274

Step 1: Find the prime factorization of 3754

3754 = 2 x 1877

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 = 7061274 = 2 x 3 x 3 x 11 x 19 x 1877

Step 4: Therefore, the least common multiple of 3754 and 3762 is 7061274.