Least Common Multiple of 3738 and 3742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3738 and 3742 the smallest integer that is 6993798 that is divisible by both numbers.

Least Common Multiple (LCM) of 3738 and 3742 is 6993798.

LCM(3738,3742) = 6993798

LCM of 3738 and 3742

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

LCM of:
and

Least Common Multiple of 3738 and 3742

LCM of 3738 and 3742 is 6993798

Least common multiple can be found by multiplying the highest exponent prime factors of 3738 and 3742. First we will calculate the prime factors of 3738 and 3742.

Prime Factorization of 3738


2 3738
3 1869
7 623
89 89
1

Prime factors of 3738 are 2, 3, 7,89. Prime factorization of 3738 in exponential form is:

3738 = 21×31×71×891

Prime Factorization of 3742


2 3742
1871 1871
1

Prime factors of 3742 are 2,1871. Prime factorization of 3742 in exponential form is:

3742 = 21×18711

Now multiplying the highest exponent prime factors to calculate the LCM of 3738 and 3742.

LCM(3738,3742) = 21×31×71×891×18711
LCM(3738,3742) = 6993798

Factors of 3738

List of positive integer factors of 3738 that divides 3738 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738

Factors of 3742

List of positive integer factors of 3742 that divides 3742 without a remainder.

1, 2, 1871, 3742

Least Common Multiple of 3738 and 3742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3738 and 3742, than apply into the LCM equation.

GCF(3738,3742) = 2
LCM(3738,3742) = ( 3738 × 3742) / 2
LCM(3738,3742) = 13987596 / 2
LCM(3738,3742) = 6993798

Properties of LCM 3738 and 3742

(i) The LCM of 3742 and 3738 is associative

LCM of 3738 and 3742 = LCM of 3742 and 3738

Related Least Common Multiples of 3738

Related Least Common Multiples of 3742

Frequently Asked Questions on LCM of 3738 and 3742

1. What is the LCM of 3738 and 3742?

Answer: LCM of 3738 and 3742 is 6993798.

2. What are the Factors of 3738?

Answer: Factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738. There are 16 integers that are factors of 3738. The greatest factor of 3738 is 3738.

3. What are the Factors of 3742?

Answer: Factors of 3742 are 1, 2, 1871, 3742. There are 4 integers that are factors of 3742. The greatest factor of 3742 is 3742.

4. How to Find the LCM of 3738 and 3742?

Answer:

Least Common Multiple of 3738 and 3742 = 6993798

Step 1: Find the prime factorization of 3738

3738 = 2 x 3 x 7 x 89

Step 2: Find the prime factorization of 3742

3742 = 2 x 1871

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

LCM = 6993798 = 2 x 3 x 7 x 89 x 1871

Step 4: Therefore, the least common multiple of 3738 and 3742 is 6993798.