Least Common Multiple of 3761 and 3767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3761 and 3767 the smallest integer that is 14167687 that is divisible by both numbers.

Least Common Multiple (LCM) of 3761 and 3767 is 14167687.

LCM(3761,3767) = 14167687

LCM of 3761 and 3767

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

LCM of:
and

Least Common Multiple of 3761 and 3767

LCM of 3761 and 3767 is 14167687

Least common multiple can be found by multiplying the highest exponent prime factors of 3761 and 3767. First we will calculate the prime factors of 3761 and 3767.

Prime Factorization of 3761


3761 3761
1

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

3761 = 37611

Prime Factorization of 3767


3767 3767
1

Prime factors of 3767 are 3767. Prime factorization of 3767 in exponential form is:

3767 = 37671

Now multiplying the highest exponent prime factors to calculate the LCM of 3761 and 3767.

LCM(3761,3767) = 37611×37671
LCM(3761,3767) = 14167687

Factors of 3761

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

1, 3761

Factors of 3767

List of positive integer factors of 3767 that divides 3767 without a remainder.

1, 3767

Least Common Multiple of 3761 and 3767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3761 and 3767, than apply into the LCM equation.

GCF(3761,3767) = 1
LCM(3761,3767) = ( 3761 × 3767) / 1
LCM(3761,3767) = 14167687 / 1
LCM(3761,3767) = 14167687

Properties of LCM 3761 and 3767

(i) The LCM of 3767 and 3761 is associative

LCM of 3761 and 3767 = LCM of 3767 and 3761

Related Least Common Multiples of 3761

Related Least Common Multiples of 3767

Frequently Asked Questions on LCM of 3761 and 3767

1. What is the LCM of 3761 and 3767?

Answer: LCM of 3761 and 3767 is 14167687.

2. 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.

3. What are the Factors of 3767?

Answer: Factors of 3767 are 1, 3767. There are 2 integers that are factors of 3767. The greatest factor of 3767 is 3767.

4. How to Find the LCM of 3761 and 3767?

Answer:

Least Common Multiple of 3761 and 3767 = 14167687

Step 1: Find the prime factorization of 3761

3761 = 3761

Step 2: Find the prime factorization of 3767

3767 = 3767

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

LCM = 14167687 = 3761 x 3767

Step 4: Therefore, the least common multiple of 3761 and 3767 is 14167687.