Least Common Multiple of 3742 and 3746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3742 and 3746 the smallest integer that is 7008766 that is divisible by both numbers.

Least Common Multiple (LCM) of 3742 and 3746 is 7008766.

LCM(3742,3746) = 7008766

LCM of 3742 and 3746

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

LCM of:
and

Least Common Multiple of 3742 and 3746

LCM of 3742 and 3746 is 7008766

Least common multiple can be found by multiplying the highest exponent prime factors of 3742 and 3746. First we will calculate the prime factors of 3742 and 3746.

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

Prime Factorization of 3746


2 3746
1873 1873
1

Prime factors of 3746 are 2,1873. Prime factorization of 3746 in exponential form is:

3746 = 21×18731

Now multiplying the highest exponent prime factors to calculate the LCM of 3742 and 3746.

LCM(3742,3746) = 21×18711×18731
LCM(3742,3746) = 7008766

Factors of 3742

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

1, 2, 1871, 3742

Factors of 3746

List of positive integer factors of 3746 that divides 3746 without a remainder.

1, 2, 1873, 3746

Least Common Multiple of 3742 and 3746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3742 and 3746, than apply into the LCM equation.

GCF(3742,3746) = 2
LCM(3742,3746) = ( 3742 × 3746) / 2
LCM(3742,3746) = 14017532 / 2
LCM(3742,3746) = 7008766

Properties of LCM 3742 and 3746

(i) The LCM of 3746 and 3742 is associative

LCM of 3742 and 3746 = LCM of 3746 and 3742

Related Least Common Multiples of 3742

Related Least Common Multiples of 3746

Frequently Asked Questions on LCM of 3742 and 3746

1. What is the LCM of 3742 and 3746?

Answer: LCM of 3742 and 3746 is 7008766.

2. 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.

3. What are the Factors of 3746?

Answer: Factors of 3746 are 1, 2, 1873, 3746. There are 4 integers that are factors of 3746. The greatest factor of 3746 is 3746.

4. How to Find the LCM of 3742 and 3746?

Answer:

Least Common Multiple of 3742 and 3746 = 7008766

Step 1: Find the prime factorization of 3742

3742 = 2 x 1871

Step 2: Find the prime factorization of 3746

3746 = 2 x 1873

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

LCM = 7008766 = 2 x 1871 x 1873

Step 4: Therefore, the least common multiple of 3742 and 3746 is 7008766.