Least Common Multiple of 3743 and 3747

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 3747 the smallest integer that is 14025021 that is divisible by both numbers.

Least Common Multiple (LCM) of 3743 and 3747 is 14025021.

LCM(3743,3747) = 14025021

LCM of 3743 and 3747

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

LCM of:
and

Least Common Multiple of 3743 and 3747

LCM of 3743 and 3747 is 14025021

Least common multiple can be found by multiplying the highest exponent prime factors of 3743 and 3747. First we will calculate the prime factors of 3743 and 3747.

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 3747


3 3747
1249 1249
1

Prime factors of 3747 are 3,1249. Prime factorization of 3747 in exponential form is:

3747 = 31×12491

Now multiplying the highest exponent prime factors to calculate the LCM of 3743 and 3747.

LCM(3743,3747) = 31×191×1971×12491
LCM(3743,3747) = 14025021

Factors of 3743

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

1, 19, 197, 3743

Factors of 3747

List of positive integer factors of 3747 that divides 3747 without a remainder.

1, 3, 1249, 3747

Least Common Multiple of 3743 and 3747 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 3747, than apply into the LCM equation.

GCF(3743,3747) = 1
LCM(3743,3747) = ( 3743 × 3747) / 1
LCM(3743,3747) = 14025021 / 1
LCM(3743,3747) = 14025021

Properties of LCM 3743 and 3747

(i) The LCM of 3747 and 3743 is associative

LCM of 3743 and 3747 = LCM of 3747 and 3743

Related Least Common Multiples of 3743

Related Least Common Multiples of 3747

Frequently Asked Questions on LCM of 3743 and 3747

1. What is the LCM of 3743 and 3747?

Answer: LCM of 3743 and 3747 is 14025021.

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 3747?

Answer: Factors of 3747 are 1, 3, 1249, 3747. There are 4 integers that are factors of 3747. The greatest factor of 3747 is 3747.

4. How to Find the LCM of 3743 and 3747?

Answer:

Least Common Multiple of 3743 and 3747 = 14025021

Step 1: Find the prime factorization of 3743

3743 = 19 x 197

Step 2: Find the prime factorization of 3747

3747 = 3 x 1249

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

LCM = 14025021 = 3 x 19 x 197 x 1249

Step 4: Therefore, the least common multiple of 3743 and 3747 is 14025021.