Least Common Multiple of 3769 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 3769 and 3775 the smallest integer that is 14227975 that is divisible by both numbers.

Least Common Multiple (LCM) of 3769 and 3775 is 14227975.

LCM(3769,3775) = 14227975

LCM of 3769 and 3775

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

LCM of:
and

Least Common Multiple of 3769 and 3775

LCM of 3769 and 3775 is 14227975

Least common multiple can be found by multiplying the highest exponent prime factors of 3769 and 3775. First we will calculate the prime factors of 3769 and 3775.

Prime Factorization of 3769


3769 3769
1

Prime factors of 3769 are 3769. Prime factorization of 3769 in exponential form is:

3769 = 37691

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 3769 and 3775.

LCM(3769,3775) = 52×1511×37691
LCM(3769,3775) = 14227975

Factors of 3769

List of positive integer factors of 3769 that divides 3769 without a remainder.

1, 3769

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 3769 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 3769 and 3775, than apply into the LCM equation.

GCF(3769,3775) = 1
LCM(3769,3775) = ( 3769 × 3775) / 1
LCM(3769,3775) = 14227975 / 1
LCM(3769,3775) = 14227975

Properties of LCM 3769 and 3775

(i) The LCM of 3775 and 3769 is associative

LCM of 3769 and 3775 = LCM of 3775 and 3769

Related Least Common Multiples of 3769

Related Least Common Multiples of 3775

Frequently Asked Questions on LCM of 3769 and 3775

1. What is the LCM of 3769 and 3775?

Answer: LCM of 3769 and 3775 is 14227975.

2. What are the Factors of 3769?

Answer: Factors of 3769 are 1, 3769. There are 2 integers that are factors of 3769. The greatest factor of 3769 is 3769.

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 3769 and 3775?

Answer:

Least Common Multiple of 3769 and 3775 = 14227975

Step 1: Find the prime factorization of 3769

3769 = 3769

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 = 14227975 = 5 x 5 x 151 x 3769

Step 4: Therefore, the least common multiple of 3769 and 3775 is 14227975.