Least Common Multiple of 3753 and 3758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3753 and 3758 the smallest integer that is 14103774 that is divisible by both numbers.

Least Common Multiple (LCM) of 3753 and 3758 is 14103774.

LCM(3753,3758) = 14103774

LCM of 3753 and 3758

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

LCM of:
and

Least Common Multiple of 3753 and 3758

LCM of 3753 and 3758 is 14103774

Least common multiple can be found by multiplying the highest exponent prime factors of 3753 and 3758. First we will calculate the prime factors of 3753 and 3758.

Prime Factorization of 3753


3 3753
3 1251
3 417
139 139
1

Prime factors of 3753 are 3,139. Prime factorization of 3753 in exponential form is:

3753 = 33×1391

Prime Factorization of 3758


2 3758
1879 1879
1

Prime factors of 3758 are 2,1879. Prime factorization of 3758 in exponential form is:

3758 = 21×18791

Now multiplying the highest exponent prime factors to calculate the LCM of 3753 and 3758.

LCM(3753,3758) = 21×33×1391×18791
LCM(3753,3758) = 14103774

Factors of 3753

List of positive integer factors of 3753 that divides 3753 without a remainder.

1, 3, 9, 27, 139, 417, 1251, 3753

Factors of 3758

List of positive integer factors of 3758 that divides 3758 without a remainder.

1, 2, 1879, 3758

Least Common Multiple of 3753 and 3758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3753 and 3758, than apply into the LCM equation.

GCF(3753,3758) = 1
LCM(3753,3758) = ( 3753 × 3758) / 1
LCM(3753,3758) = 14103774 / 1
LCM(3753,3758) = 14103774

Properties of LCM 3753 and 3758

(i) The LCM of 3758 and 3753 is associative

LCM of 3753 and 3758 = LCM of 3758 and 3753

Related Least Common Multiples of 3753

Related Least Common Multiples of 3758

Frequently Asked Questions on LCM of 3753 and 3758

1. What is the LCM of 3753 and 3758?

Answer: LCM of 3753 and 3758 is 14103774.

2. What are the Factors of 3753?

Answer: Factors of 3753 are 1, 3, 9, 27, 139, 417, 1251, 3753. There are 8 integers that are factors of 3753. The greatest factor of 3753 is 3753.

3. What are the Factors of 3758?

Answer: Factors of 3758 are 1, 2, 1879, 3758. There are 4 integers that are factors of 3758. The greatest factor of 3758 is 3758.

4. How to Find the LCM of 3753 and 3758?

Answer:

Least Common Multiple of 3753 and 3758 = 14103774

Step 1: Find the prime factorization of 3753

3753 = 3 x 3 x 3 x 139

Step 2: Find the prime factorization of 3758

3758 = 2 x 1879

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

LCM = 14103774 = 2 x 3 x 3 x 3 x 139 x 1879

Step 4: Therefore, the least common multiple of 3753 and 3758 is 14103774.