Least Common Multiple of 3767 and 3775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3767 and 3775 the smallest integer that is 14220425 that is divisible by both numbers.

Least Common Multiple (LCM) of 3767 and 3775 is 14220425.

LCM(3767,3775) = 14220425

LCM of 3767 and 3775

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

LCM of:
and

Least Common Multiple of 3767 and 3775

LCM of 3767 and 3775 is 14220425

Least common multiple can be found by multiplying the highest exponent prime factors of 3767 and 3775. First we will calculate the prime factors of 3767 and 3775.

Prime Factorization of 3767


3767 3767
1

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

3767 = 37671

Prime Factorization of 3775


5 3775
5 755
151 151
1

Prime factors of 3775 are 5,151. Prime factorization of 3775 in exponential form is:

3775 = 52×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3767 and 3775.

LCM(3767,3775) = 52×1511×37671
LCM(3767,3775) = 14220425

Factors of 3767

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

1, 3767

Factors of 3775

List of positive integer factors of 3775 that divides 3775 without a remainder.

1, 5, 25, 151, 755, 3775

Least Common Multiple of 3767 and 3775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3767 and 3775, than apply into the LCM equation.

GCF(3767,3775) = 1
LCM(3767,3775) = ( 3767 × 3775) / 1
LCM(3767,3775) = 14220425 / 1
LCM(3767,3775) = 14220425

Properties of LCM 3767 and 3775

(i) The LCM of 3775 and 3767 is associative

LCM of 3767 and 3775 = LCM of 3775 and 3767

Related Least Common Multiples of 3767

Related Least Common Multiples of 3775

Frequently Asked Questions on LCM of 3767 and 3775

1. What is the LCM of 3767 and 3775?

Answer: LCM of 3767 and 3775 is 14220425.

2. 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.

3. What are the Factors of 3775?

Answer: Factors of 3775 are 1, 5, 25, 151, 755, 3775. There are 6 integers that are factors of 3775. The greatest factor of 3775 is 3775.

4. How to Find the LCM of 3767 and 3775?

Answer:

Least Common Multiple of 3767 and 3775 = 14220425

Step 1: Find the prime factorization of 3767

3767 = 3767

Step 2: Find the prime factorization of 3775

3775 = 5 x 5 x 151

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

LCM = 14220425 = 5 x 5 x 151 x 3767

Step 4: Therefore, the least common multiple of 3767 and 3775 is 14220425.