Least Common Multiple of 3743 and 3748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3743 and 3748 the smallest integer that is 14028764 that is divisible by both numbers.

Least Common Multiple (LCM) of 3743 and 3748 is 14028764.

LCM(3743,3748) = 14028764

LCM of 3743 and 3748

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

LCM of:
and

Least Common Multiple of 3743 and 3748

LCM of 3743 and 3748 is 14028764

Least common multiple can be found by multiplying the highest exponent prime factors of 3743 and 3748. First we will calculate the prime factors of 3743 and 3748.

Prime Factorization of 3743


19 3743
197 197
1

Prime factors of 3743 are 19,197. Prime factorization of 3743 in exponential form is:

3743 = 191×1971

Prime Factorization of 3748


2 3748
2 1874
937 937
1

Prime factors of 3748 are 2,937. Prime factorization of 3748 in exponential form is:

3748 = 22×9371

Now multiplying the highest exponent prime factors to calculate the LCM of 3743 and 3748.

LCM(3743,3748) = 22×191×1971×9371
LCM(3743,3748) = 14028764

Factors of 3743

List of positive integer factors of 3743 that divides 3743 without a remainder.

1, 19, 197, 3743

Factors of 3748

List of positive integer factors of 3748 that divides 3748 without a remainder.

1, 2, 4, 937, 1874, 3748

Least Common Multiple of 3743 and 3748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3743 and 3748, than apply into the LCM equation.

GCF(3743,3748) = 1
LCM(3743,3748) = ( 3743 × 3748) / 1
LCM(3743,3748) = 14028764 / 1
LCM(3743,3748) = 14028764

Properties of LCM 3743 and 3748

(i) The LCM of 3748 and 3743 is associative

LCM of 3743 and 3748 = LCM of 3748 and 3743

Related Least Common Multiples of 3743

Related Least Common Multiples of 3748

Frequently Asked Questions on LCM of 3743 and 3748

1. What is the LCM of 3743 and 3748?

Answer: LCM of 3743 and 3748 is 14028764.

2. What are the Factors of 3743?

Answer: Factors of 3743 are 1, 19, 197, 3743. There are 4 integers that are factors of 3743. The greatest factor of 3743 is 3743.

3. What are the Factors of 3748?

Answer: Factors of 3748 are 1, 2, 4, 937, 1874, 3748. There are 6 integers that are factors of 3748. The greatest factor of 3748 is 3748.

4. How to Find the LCM of 3743 and 3748?

Answer:

Least Common Multiple of 3743 and 3748 = 14028764

Step 1: Find the prime factorization of 3743

3743 = 19 x 197

Step 2: Find the prime factorization of 3748

3748 = 2 x 2 x 937

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

LCM = 14028764 = 2 x 2 x 19 x 197 x 937

Step 4: Therefore, the least common multiple of 3743 and 3748 is 14028764.