Least Common Multiple of 3758 and 3761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 3758 and 3761 the smallest integer that is 14133838 that is divisible by both numbers.

Least Common Multiple (LCM) of 3758 and 3761 is 14133838.

LCM(3758,3761) = 14133838

LCM of 3758 and 3761

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

LCM of:
and

Least Common Multiple of 3758 and 3761

LCM of 3758 and 3761 is 14133838

Least common multiple can be found by multiplying the highest exponent prime factors of 3758 and 3761. First we will calculate the prime factors of 3758 and 3761.

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

Prime Factorization of 3761


3761 3761
1

Prime factors of 3761 are 3761. Prime factorization of 3761 in exponential form is:

3761 = 37611

Now multiplying the highest exponent prime factors to calculate the LCM of 3758 and 3761.

LCM(3758,3761) = 21×18791×37611
LCM(3758,3761) = 14133838

Factors of 3758

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

1, 2, 1879, 3758

Factors of 3761

List of positive integer factors of 3761 that divides 3761 without a remainder.

1, 3761

Least Common Multiple of 3758 and 3761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3758 and 3761, than apply into the LCM equation.

GCF(3758,3761) = 1
LCM(3758,3761) = ( 3758 × 3761) / 1
LCM(3758,3761) = 14133838 / 1
LCM(3758,3761) = 14133838

Properties of LCM 3758 and 3761

(i) The LCM of 3761 and 3758 is associative

LCM of 3758 and 3761 = LCM of 3761 and 3758

Frequently Asked Questions on LCM of 3758 and 3761

1. What is the LCM of 3758 and 3761?

Answer: LCM of 3758 and 3761 is 14133838.

2. 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.

3. What are the Factors of 3761?

Answer: Factors of 3761 are 1, 3761. There are 2 integers that are factors of 3761. The greatest factor of 3761 is 3761.

4. How to Find the LCM of 3758 and 3761?

Answer:

Least Common Multiple of 3758 and 3761 = 14133838

Step 1: Find the prime factorization of 3758

3758 = 2 x 1879

Step 2: Find the prime factorization of 3761

3761 = 3761

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

LCM = 14133838 = 2 x 1879 x 3761

Step 4: Therefore, the least common multiple of 3758 and 3761 is 14133838.