Least Common Multiple of 3732 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 3732 and 3737 the smallest integer that is 13946484 that is divisible by both numbers.

Least Common Multiple (LCM) of 3732 and 3737 is 13946484.

LCM(3732,3737) = 13946484

LCM of 3732 and 3737

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

LCM of:
and

Least Common Multiple of 3732 and 3737

LCM of 3732 and 3737 is 13946484

Least common multiple can be found by multiplying the highest exponent prime factors of 3732 and 3737. First we will calculate the prime factors of 3732 and 3737.

Prime Factorization of 3732


2 3732
2 1866
3 933
311 311
1

Prime factors of 3732 are 2, 3,311. Prime factorization of 3732 in exponential form is:

3732 = 22×31×3111

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 3732 and 3737.

LCM(3732,3737) = 22×31×371×1011×3111
LCM(3732,3737) = 13946484

Factors of 3732

List of positive integer factors of 3732 that divides 3732 without a remainder.

1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732

Factors of 3737

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

1, 37, 101, 3737

Least Common Multiple of 3732 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 3732 and 3737, than apply into the LCM equation.

GCF(3732,3737) = 1
LCM(3732,3737) = ( 3732 × 3737) / 1
LCM(3732,3737) = 13946484 / 1
LCM(3732,3737) = 13946484

Properties of LCM 3732 and 3737

(i) The LCM of 3737 and 3732 is associative

LCM of 3732 and 3737 = LCM of 3737 and 3732

Related Least Common Multiples of 3732

Related Least Common Multiples of 3737

Frequently Asked Questions on LCM of 3732 and 3737

1. What is the LCM of 3732 and 3737?

Answer: LCM of 3732 and 3737 is 13946484.

2. What are the Factors of 3732?

Answer: Factors of 3732 are 1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732. There are 12 integers that are factors of 3732. The greatest factor of 3732 is 3732.

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 3732 and 3737?

Answer:

Least Common Multiple of 3732 and 3737 = 13946484

Step 1: Find the prime factorization of 3732

3732 = 2 x 2 x 3 x 311

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 = 13946484 = 2 x 2 x 3 x 37 x 101 x 311

Step 4: Therefore, the least common multiple of 3732 and 3737 is 13946484.