Least Common Multiple of 3776 and 3784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3776 and 3784 the smallest integer that is 1786048 that is divisible by both numbers.

Least Common Multiple (LCM) of 3776 and 3784 is 1786048.

LCM(3776,3784) = 1786048

LCM of 3776 and 3784

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

LCM of:
and

Least Common Multiple of 3776 and 3784

LCM of 3776 and 3784 is 1786048

Least common multiple can be found by multiplying the highest exponent prime factors of 3776 and 3784. First we will calculate the prime factors of 3776 and 3784.

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

Prime Factorization of 3784


2 3784
2 1892
2 946
11 473
43 43
1

Prime factors of 3784 are 2, 11,43. Prime factorization of 3784 in exponential form is:

3784 = 23×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3776 and 3784.

LCM(3776,3784) = 26×111×431×591
LCM(3776,3784) = 1786048

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

Factors of 3784

List of positive integer factors of 3784 that divides 3784 without a remainder.

1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784

Least Common Multiple of 3776 and 3784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3776 and 3784, than apply into the LCM equation.

GCF(3776,3784) = 8
LCM(3776,3784) = ( 3776 × 3784) / 8
LCM(3776,3784) = 14288384 / 8
LCM(3776,3784) = 1786048

Properties of LCM 3776 and 3784

(i) The LCM of 3784 and 3776 is associative

LCM of 3776 and 3784 = LCM of 3784 and 3776

Related Least Common Multiples of 3776

Related Least Common Multiples of 3784

Frequently Asked Questions on LCM of 3776 and 3784

1. What is the LCM of 3776 and 3784?

Answer: LCM of 3776 and 3784 is 1786048.

2. 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.

3. What are the Factors of 3784?

Answer: Factors of 3784 are 1, 2, 4, 8, 11, 22, 43, 44, 86, 88, 172, 344, 473, 946, 1892, 3784. There are 16 integers that are factors of 3784. The greatest factor of 3784 is 3784.

4. How to Find the LCM of 3776 and 3784?

Answer:

Least Common Multiple of 3776 and 3784 = 1786048

Step 1: Find the prime factorization of 3776

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

Step 2: Find the prime factorization of 3784

3784 = 2 x 2 x 2 x 11 x 43

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

LCM = 1786048 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 43 x 59

Step 4: Therefore, the least common multiple of 3776 and 3784 is 1786048.