Least Common Multiple of 3769 and 3776

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 3776 the smallest integer that is 14231744 that is divisible by both numbers.

Least Common Multiple (LCM) of 3769 and 3776 is 14231744.

LCM(3769,3776) = 14231744

LCM of 3769 and 3776

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

LCM of:
and

Least Common Multiple of 3769 and 3776

LCM of 3769 and 3776 is 14231744

Least common multiple can be found by multiplying the highest exponent prime factors of 3769 and 3776. First we will calculate the prime factors of 3769 and 3776.

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 3776


2 3776
2 1888
2 944
2 472
2 236
2 118
59 59
1

Prime factors of 3776 are 2,59. Prime factorization of 3776 in exponential form is:

3776 = 26×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3769 and 3776.

LCM(3769,3776) = 26×591×37691
LCM(3769,3776) = 14231744

Factors of 3769

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

1, 3769

Factors of 3776

List of positive integer factors of 3776 that divides 3776 without a remainder.

1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776

Least Common Multiple of 3769 and 3776 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 3776, than apply into the LCM equation.

GCF(3769,3776) = 1
LCM(3769,3776) = ( 3769 × 3776) / 1
LCM(3769,3776) = 14231744 / 1
LCM(3769,3776) = 14231744

Properties of LCM 3769 and 3776

(i) The LCM of 3776 and 3769 is associative

LCM of 3769 and 3776 = LCM of 3776 and 3769

Related Least Common Multiples of 3769

Related Least Common Multiples of 3776

Frequently Asked Questions on LCM of 3769 and 3776

1. What is the LCM of 3769 and 3776?

Answer: LCM of 3769 and 3776 is 14231744.

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 3776?

Answer: Factors of 3776 are 1, 2, 4, 8, 16, 32, 59, 64, 118, 236, 472, 944, 1888, 3776. There are 14 integers that are factors of 3776. The greatest factor of 3776 is 3776.

4. How to Find the LCM of 3769 and 3776?

Answer:

Least Common Multiple of 3769 and 3776 = 14231744

Step 1: Find the prime factorization of 3769

3769 = 3769

Step 2: Find the prime factorization of 3776

3776 = 2 x 2 x 2 x 2 x 2 x 2 x 59

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

LCM = 14231744 = 2 x 2 x 2 x 2 x 2 x 2 x 59 x 3769

Step 4: Therefore, the least common multiple of 3769 and 3776 is 14231744.