Least Common Multiple of 3737 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 3737 and 3738 the smallest integer that is 13968906 that is divisible by both numbers.

Least Common Multiple (LCM) of 3737 and 3738 is 13968906.

LCM(3737,3738) = 13968906

LCM of 3737 and 3738

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

LCM of:
and

Least Common Multiple of 3737 and 3738

LCM of 3737 and 3738 is 13968906

Least common multiple can be found by multiplying the highest exponent prime factors of 3737 and 3738. First we will calculate the prime factors of 3737 and 3738.

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

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 3737 and 3738.

LCM(3737,3738) = 21×31×71×371×891×1011
LCM(3737,3738) = 13968906

Factors of 3737

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

1, 37, 101, 3737

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 3737 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 3737 and 3738, than apply into the LCM equation.

GCF(3737,3738) = 1
LCM(3737,3738) = ( 3737 × 3738) / 1
LCM(3737,3738) = 13968906 / 1
LCM(3737,3738) = 13968906

Properties of LCM 3737 and 3738

(i) The LCM of 3738 and 3737 is associative

LCM of 3737 and 3738 = LCM of 3738 and 3737

Related Least Common Multiples of 3737

Related Least Common Multiples of 3738

Frequently Asked Questions on LCM of 3737 and 3738

1. What is the LCM of 3737 and 3738?

Answer: LCM of 3737 and 3738 is 13968906.

2. 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.

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 3737 and 3738?

Answer:

Least Common Multiple of 3737 and 3738 = 13968906

Step 1: Find the prime factorization of 3737

3737 = 37 x 101

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 = 13968906 = 2 x 3 x 7 x 37 x 89 x 101

Step 4: Therefore, the least common multiple of 3737 and 3738 is 13968906.