Least Common Multiple of 3732 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 3732 and 3738 the smallest integer that is 2325036 that is divisible by both numbers.

Least Common Multiple (LCM) of 3732 and 3738 is 2325036.

LCM(3732,3738) = 2325036

LCM of 3732 and 3738

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

LCM of:
and

Least Common Multiple of 3732 and 3738

LCM of 3732 and 3738 is 2325036

Least common multiple can be found by multiplying the highest exponent prime factors of 3732 and 3738. First we will calculate the prime factors of 3732 and 3738.

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 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 3732 and 3738.

LCM(3732,3738) = 22×31×71×891×3111
LCM(3732,3738) = 2325036

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 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 3732 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 3732 and 3738, than apply into the LCM equation.

GCF(3732,3738) = 6
LCM(3732,3738) = ( 3732 × 3738) / 6
LCM(3732,3738) = 13950216 / 6
LCM(3732,3738) = 2325036

Properties of LCM 3732 and 3738

(i) The LCM of 3738 and 3732 is associative

LCM of 3732 and 3738 = LCM of 3738 and 3732

Related Least Common Multiples of 3732

Related Least Common Multiples of 3738

Frequently Asked Questions on LCM of 3732 and 3738

1. What is the LCM of 3732 and 3738?

Answer: LCM of 3732 and 3738 is 2325036.

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 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 3732 and 3738?

Answer:

Least Common Multiple of 3732 and 3738 = 2325036

Step 1: Find the prime factorization of 3732

3732 = 2 x 2 x 3 x 311

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 = 2325036 = 2 x 2 x 3 x 7 x 89 x 311

Step 4: Therefore, the least common multiple of 3732 and 3738 is 2325036.