Least Common Multiple of 3776 and 3782

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 3782 the smallest integer that is 7140416 that is divisible by both numbers.

Least Common Multiple (LCM) of 3776 and 3782 is 7140416.

LCM(3776,3782) = 7140416

LCM of 3776 and 3782

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

LCM of:
and

Least Common Multiple of 3776 and 3782

LCM of 3776 and 3782 is 7140416

Least common multiple can be found by multiplying the highest exponent prime factors of 3776 and 3782. First we will calculate the prime factors of 3776 and 3782.

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 3782


2 3782
31 1891
61 61
1

Prime factors of 3782 are 2, 31,61. Prime factorization of 3782 in exponential form is:

3782 = 21×311×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3776 and 3782.

LCM(3776,3782) = 26×311×591×611
LCM(3776,3782) = 7140416

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 3782

List of positive integer factors of 3782 that divides 3782 without a remainder.

1, 2, 31, 61, 62, 122, 1891, 3782

Least Common Multiple of 3776 and 3782 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 3782, than apply into the LCM equation.

GCF(3776,3782) = 2
LCM(3776,3782) = ( 3776 × 3782) / 2
LCM(3776,3782) = 14280832 / 2
LCM(3776,3782) = 7140416

Properties of LCM 3776 and 3782

(i) The LCM of 3782 and 3776 is associative

LCM of 3776 and 3782 = LCM of 3782 and 3776

Related Least Common Multiples of 3776

Related Least Common Multiples of 3782

Frequently Asked Questions on LCM of 3776 and 3782

1. What is the LCM of 3776 and 3782?

Answer: LCM of 3776 and 3782 is 7140416.

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 3782?

Answer: Factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782. There are 8 integers that are factors of 3782. The greatest factor of 3782 is 3782.

4. How to Find the LCM of 3776 and 3782?

Answer:

Least Common Multiple of 3776 and 3782 = 7140416

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 3782

3782 = 2 x 31 x 61

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

LCM = 7140416 = 2 x 2 x 2 x 2 x 2 x 2 x 31 x 59 x 61

Step 4: Therefore, the least common multiple of 3776 and 3782 is 7140416.