Least Common Multiple of 3768 and 3769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3768 and 3769 the smallest integer that is 14201592 that is divisible by both numbers.

Least Common Multiple (LCM) of 3768 and 3769 is 14201592.

LCM(3768,3769) = 14201592

LCM of 3768 and 3769

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

LCM of:
and

Least Common Multiple of 3768 and 3769

LCM of 3768 and 3769 is 14201592

Least common multiple can be found by multiplying the highest exponent prime factors of 3768 and 3769. First we will calculate the prime factors of 3768 and 3769.

Prime Factorization of 3768


2 3768
2 1884
2 942
3 471
157 157
1

Prime factors of 3768 are 2, 3,157. Prime factorization of 3768 in exponential form is:

3768 = 23×31×1571

Prime Factorization of 3769


3769 3769
1

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

3769 = 37691

Now multiplying the highest exponent prime factors to calculate the LCM of 3768 and 3769.

LCM(3768,3769) = 23×31×1571×37691
LCM(3768,3769) = 14201592

Factors of 3768

List of positive integer factors of 3768 that divides 3768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768

Factors of 3769

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

1, 3769

Least Common Multiple of 3768 and 3769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3768 and 3769, than apply into the LCM equation.

GCF(3768,3769) = 1
LCM(3768,3769) = ( 3768 × 3769) / 1
LCM(3768,3769) = 14201592 / 1
LCM(3768,3769) = 14201592

Properties of LCM 3768 and 3769

(i) The LCM of 3769 and 3768 is associative

LCM of 3768 and 3769 = LCM of 3769 and 3768

Related Least Common Multiples of 3768

Related Least Common Multiples of 3769

Frequently Asked Questions on LCM of 3768 and 3769

1. What is the LCM of 3768 and 3769?

Answer: LCM of 3768 and 3769 is 14201592.

2. What are the Factors of 3768?

Answer: Factors of 3768 are 1, 2, 3, 4, 6, 8, 12, 24, 157, 314, 471, 628, 942, 1256, 1884, 3768. There are 16 integers that are factors of 3768. The greatest factor of 3768 is 3768.

3. 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.

4. How to Find the LCM of 3768 and 3769?

Answer:

Least Common Multiple of 3768 and 3769 = 14201592

Step 1: Find the prime factorization of 3768

3768 = 2 x 2 x 2 x 3 x 157

Step 2: Find the prime factorization of 3769

3769 = 3769

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

LCM = 14201592 = 2 x 2 x 2 x 3 x 157 x 3769

Step 4: Therefore, the least common multiple of 3768 and 3769 is 14201592.