Least Common Multiple of 3733 and 3738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3733 and 3738 the smallest integer that is 13953954 that is divisible by both numbers.

Least Common Multiple (LCM) of 3733 and 3738 is 13953954.

LCM(3733,3738) = 13953954

LCM of 3733 and 3738

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

LCM of:
and

Least Common Multiple of 3733 and 3738

LCM of 3733 and 3738 is 13953954

Least common multiple can be found by multiplying the highest exponent prime factors of 3733 and 3738. First we will calculate the prime factors of 3733 and 3738.

Prime Factorization of 3733


3733 3733
1

Prime factors of 3733 are 3733. Prime factorization of 3733 in exponential form is:

3733 = 37331

Prime Factorization of 3738


2 3738
3 1869
7 623
89 89
1

Prime factors of 3738 are 2, 3, 7,89. Prime factorization of 3738 in exponential form is:

3738 = 21×31×71×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3733 and 3738.

LCM(3733,3738) = 21×31×71×891×37331
LCM(3733,3738) = 13953954

Factors of 3733

List of positive integer factors of 3733 that divides 3733 without a remainder.

1, 3733

Factors of 3738

List of positive integer factors of 3738 that divides 3738 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738

Least Common Multiple of 3733 and 3738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3733 and 3738, than apply into the LCM equation.

GCF(3733,3738) = 1
LCM(3733,3738) = ( 3733 × 3738) / 1
LCM(3733,3738) = 13953954 / 1
LCM(3733,3738) = 13953954

Properties of LCM 3733 and 3738

(i) The LCM of 3738 and 3733 is associative

LCM of 3733 and 3738 = LCM of 3738 and 3733

Related Least Common Multiples of 3733

Related Least Common Multiples of 3738

Frequently Asked Questions on LCM of 3733 and 3738

1. What is the LCM of 3733 and 3738?

Answer: LCM of 3733 and 3738 is 13953954.

2. What are the Factors of 3733?

Answer: Factors of 3733 are 1, 3733. There are 2 integers that are factors of 3733. The greatest factor of 3733 is 3733.

3. What are the Factors of 3738?

Answer: Factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738. There are 16 integers that are factors of 3738. The greatest factor of 3738 is 3738.

4. How to Find the LCM of 3733 and 3738?

Answer:

Least Common Multiple of 3733 and 3738 = 13953954

Step 1: Find the prime factorization of 3733

3733 = 3733

Step 2: Find the prime factorization of 3738

3738 = 2 x 3 x 7 x 89

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

LCM = 13953954 = 2 x 3 x 7 x 89 x 3733

Step 4: Therefore, the least common multiple of 3733 and 3738 is 13953954.