Least Common Multiple of 3739 and 3743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3739 and 3743 the smallest integer that is 13995077 that is divisible by both numbers.

Least Common Multiple (LCM) of 3739 and 3743 is 13995077.

LCM(3739,3743) = 13995077

LCM of 3739 and 3743

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

LCM of:
and

Least Common Multiple of 3739 and 3743

LCM of 3739 and 3743 is 13995077

Least common multiple can be found by multiplying the highest exponent prime factors of 3739 and 3743. First we will calculate the prime factors of 3739 and 3743.

Prime Factorization of 3739


3739 3739
1

Prime factors of 3739 are 3739. Prime factorization of 3739 in exponential form is:

3739 = 37391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3739 and 3743.

LCM(3739,3743) = 191×1971×37391
LCM(3739,3743) = 13995077

Factors of 3739

List of positive integer factors of 3739 that divides 3739 without a remainder.

1, 3739

Factors of 3743

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

1, 19, 197, 3743

Least Common Multiple of 3739 and 3743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3739 and 3743, than apply into the LCM equation.

GCF(3739,3743) = 1
LCM(3739,3743) = ( 3739 × 3743) / 1
LCM(3739,3743) = 13995077 / 1
LCM(3739,3743) = 13995077

Properties of LCM 3739 and 3743

(i) The LCM of 3743 and 3739 is associative

LCM of 3739 and 3743 = LCM of 3743 and 3739

Related Least Common Multiples of 3739

Related Least Common Multiples of 3743

Frequently Asked Questions on LCM of 3739 and 3743

1. What is the LCM of 3739 and 3743?

Answer: LCM of 3739 and 3743 is 13995077.

2. What are the Factors of 3739?

Answer: Factors of 3739 are 1, 3739. There are 2 integers that are factors of 3739. The greatest factor of 3739 is 3739.

3. 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.

4. How to Find the LCM of 3739 and 3743?

Answer:

Least Common Multiple of 3739 and 3743 = 13995077

Step 1: Find the prime factorization of 3739

3739 = 3739

Step 2: Find the prime factorization of 3743

3743 = 19 x 197

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

LCM = 13995077 = 19 x 197 x 3739

Step 4: Therefore, the least common multiple of 3739 and 3743 is 13995077.