Least Common Multiple of 3738 and 3745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3738 and 3745 the smallest integer that is 1999830 that is divisible by both numbers.

Least Common Multiple (LCM) of 3738 and 3745 is 1999830.

LCM(3738,3745) = 1999830

LCM of 3738 and 3745

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

LCM of:
and

Least Common Multiple of 3738 and 3745

LCM of 3738 and 3745 is 1999830

Least common multiple can be found by multiplying the highest exponent prime factors of 3738 and 3745. First we will calculate the prime factors of 3738 and 3745.

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

Prime Factorization of 3745


5 3745
7 749
107 107
1

Prime factors of 3745 are 5, 7,107. Prime factorization of 3745 in exponential form is:

3745 = 51×71×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3738 and 3745.

LCM(3738,3745) = 21×31×51×71×891×1071
LCM(3738,3745) = 1999830

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

Factors of 3745

List of positive integer factors of 3745 that divides 3745 without a remainder.

1, 5, 7, 35, 107, 535, 749, 3745

Least Common Multiple of 3738 and 3745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3738 and 3745, than apply into the LCM equation.

GCF(3738,3745) = 7
LCM(3738,3745) = ( 3738 × 3745) / 7
LCM(3738,3745) = 13998810 / 7
LCM(3738,3745) = 1999830

Properties of LCM 3738 and 3745

(i) The LCM of 3745 and 3738 is associative

LCM of 3738 and 3745 = LCM of 3745 and 3738

Related Least Common Multiples of 3738

Related Least Common Multiples of 3745

Frequently Asked Questions on LCM of 3738 and 3745

1. What is the LCM of 3738 and 3745?

Answer: LCM of 3738 and 3745 is 1999830.

2. 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.

3. What are the Factors of 3745?

Answer: Factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745. There are 8 integers that are factors of 3745. The greatest factor of 3745 is 3745.

4. How to Find the LCM of 3738 and 3745?

Answer:

Least Common Multiple of 3738 and 3745 = 1999830

Step 1: Find the prime factorization of 3738

3738 = 2 x 3 x 7 x 89

Step 2: Find the prime factorization of 3745

3745 = 5 x 7 x 107

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

LCM = 1999830 = 2 x 3 x 5 x 7 x 89 x 107

Step 4: Therefore, the least common multiple of 3738 and 3745 is 1999830.