Least Common Multiple of 3736 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 3736 and 3742 the smallest integer that is 6990056 that is divisible by both numbers.

Least Common Multiple (LCM) of 3736 and 3742 is 6990056.

LCM(3736,3742) = 6990056

LCM of 3736 and 3742

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

LCM of:
and

Least Common Multiple of 3736 and 3742

LCM of 3736 and 3742 is 6990056

Least common multiple can be found by multiplying the highest exponent prime factors of 3736 and 3742. First we will calculate the prime factors of 3736 and 3742.

Prime Factorization of 3736


2 3736
2 1868
2 934
467 467
1

Prime factors of 3736 are 2,467. Prime factorization of 3736 in exponential form is:

3736 = 23×4671

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 3736 and 3742.

LCM(3736,3742) = 23×4671×18711
LCM(3736,3742) = 6990056

Factors of 3736

List of positive integer factors of 3736 that divides 3736 without a remainder.

1, 2, 4, 8, 467, 934, 1868, 3736

Factors of 3742

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

1, 2, 1871, 3742

Least Common Multiple of 3736 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 3736 and 3742, than apply into the LCM equation.

GCF(3736,3742) = 2
LCM(3736,3742) = ( 3736 × 3742) / 2
LCM(3736,3742) = 13980112 / 2
LCM(3736,3742) = 6990056

Properties of LCM 3736 and 3742

(i) The LCM of 3742 and 3736 is associative

LCM of 3736 and 3742 = LCM of 3742 and 3736

Related Least Common Multiples of 3736

Related Least Common Multiples of 3742

Frequently Asked Questions on LCM of 3736 and 3742

1. What is the LCM of 3736 and 3742?

Answer: LCM of 3736 and 3742 is 6990056.

2. What are the Factors of 3736?

Answer: Factors of 3736 are 1, 2, 4, 8, 467, 934, 1868, 3736. There are 8 integers that are factors of 3736. The greatest factor of 3736 is 3736.

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 3736 and 3742?

Answer:

Least Common Multiple of 3736 and 3742 = 6990056

Step 1: Find the prime factorization of 3736

3736 = 2 x 2 x 2 x 467

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 = 6990056 = 2 x 2 x 2 x 467 x 1871

Step 4: Therefore, the least common multiple of 3736 and 3742 is 6990056.