Least Common Multiple of 3743 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 3743 and 3746 the smallest integer that is 14021278 that is divisible by both numbers.

Least Common Multiple (LCM) of 3743 and 3746 is 14021278.

LCM(3743,3746) = 14021278

LCM of 3743 and 3746

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

LCM of:
and

Least Common Multiple of 3743 and 3746

LCM of 3743 and 3746 is 14021278

Least common multiple can be found by multiplying the highest exponent prime factors of 3743 and 3746. First we will calculate the prime factors of 3743 and 3746.

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 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 3743 and 3746.

LCM(3743,3746) = 21×191×1971×18731
LCM(3743,3746) = 14021278

Factors of 3743

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

1, 19, 197, 3743

Factors of 3746

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

1, 2, 1873, 3746

Least Common Multiple of 3743 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 3743 and 3746, than apply into the LCM equation.

GCF(3743,3746) = 1
LCM(3743,3746) = ( 3743 × 3746) / 1
LCM(3743,3746) = 14021278 / 1
LCM(3743,3746) = 14021278

Properties of LCM 3743 and 3746

(i) The LCM of 3746 and 3743 is associative

LCM of 3743 and 3746 = LCM of 3746 and 3743

Related Least Common Multiples of 3743

Related Least Common Multiples of 3746

Frequently Asked Questions on LCM of 3743 and 3746

1. What is the LCM of 3743 and 3746?

Answer: LCM of 3743 and 3746 is 14021278.

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 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 3743 and 3746?

Answer:

Least Common Multiple of 3743 and 3746 = 14021278

Step 1: Find the prime factorization of 3743

3743 = 19 x 197

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 = 14021278 = 2 x 19 x 197 x 1873

Step 4: Therefore, the least common multiple of 3743 and 3746 is 14021278.