Least Common Multiple of 3733 and 3737

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 3737 the smallest integer that is 13950221 that is divisible by both numbers.

Least Common Multiple (LCM) of 3733 and 3737 is 13950221.

LCM(3733,3737) = 13950221

LCM of 3733 and 3737

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

LCM of:
and

Least Common Multiple of 3733 and 3737

LCM of 3733 and 3737 is 13950221

Least common multiple can be found by multiplying the highest exponent prime factors of 3733 and 3737. First we will calculate the prime factors of 3733 and 3737.

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 3737


37 3737
101 101
1

Prime factors of 3737 are 37,101. Prime factorization of 3737 in exponential form is:

3737 = 371×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3733 and 3737.

LCM(3733,3737) = 371×1011×37331
LCM(3733,3737) = 13950221

Factors of 3733

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

1, 3733

Factors of 3737

List of positive integer factors of 3737 that divides 3737 without a remainder.

1, 37, 101, 3737

Least Common Multiple of 3733 and 3737 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 3737, than apply into the LCM equation.

GCF(3733,3737) = 1
LCM(3733,3737) = ( 3733 × 3737) / 1
LCM(3733,3737) = 13950221 / 1
LCM(3733,3737) = 13950221

Properties of LCM 3733 and 3737

(i) The LCM of 3737 and 3733 is associative

LCM of 3733 and 3737 = LCM of 3737 and 3733

Related Least Common Multiples of 3733

Related Least Common Multiples of 3737

Frequently Asked Questions on LCM of 3733 and 3737

1. What is the LCM of 3733 and 3737?

Answer: LCM of 3733 and 3737 is 13950221.

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 3737?

Answer: Factors of 3737 are 1, 37, 101, 3737. There are 4 integers that are factors of 3737. The greatest factor of 3737 is 3737.

4. How to Find the LCM of 3733 and 3737?

Answer:

Least Common Multiple of 3733 and 3737 = 13950221

Step 1: Find the prime factorization of 3733

3733 = 3733

Step 2: Find the prime factorization of 3737

3737 = 37 x 101

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

LCM = 13950221 = 37 x 101 x 3733

Step 4: Therefore, the least common multiple of 3733 and 3737 is 13950221.