Least Common Multiple of 3772 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 3772 and 3776 the smallest integer that is 3560768 that is divisible by both numbers.

Least Common Multiple (LCM) of 3772 and 3776 is 3560768.

LCM(3772,3776) = 3560768

LCM of 3772 and 3776

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

LCM of:
and

Least Common Multiple of 3772 and 3776

LCM of 3772 and 3776 is 3560768

Least common multiple can be found by multiplying the highest exponent prime factors of 3772 and 3776. First we will calculate the prime factors of 3772 and 3776.

Prime Factorization of 3772


2 3772
2 1886
23 943
41 41
1

Prime factors of 3772 are 2, 23,41. Prime factorization of 3772 in exponential form is:

3772 = 22×231×411

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 3772 and 3776.

LCM(3772,3776) = 26×231×411×591
LCM(3772,3776) = 3560768

Factors of 3772

List of positive integer factors of 3772 that divides 3772 without a remainder.

1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772

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 3772 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 3772 and 3776, than apply into the LCM equation.

GCF(3772,3776) = 4
LCM(3772,3776) = ( 3772 × 3776) / 4
LCM(3772,3776) = 14243072 / 4
LCM(3772,3776) = 3560768

Properties of LCM 3772 and 3776

(i) The LCM of 3776 and 3772 is associative

LCM of 3772 and 3776 = LCM of 3776 and 3772

Related Least Common Multiples of 3772

Related Least Common Multiples of 3776

Frequently Asked Questions on LCM of 3772 and 3776

1. What is the LCM of 3772 and 3776?

Answer: LCM of 3772 and 3776 is 3560768.

2. What are the Factors of 3772?

Answer: Factors of 3772 are 1, 2, 4, 23, 41, 46, 82, 92, 164, 943, 1886, 3772. There are 12 integers that are factors of 3772. The greatest factor of 3772 is 3772.

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 3772 and 3776?

Answer:

Least Common Multiple of 3772 and 3776 = 3560768

Step 1: Find the prime factorization of 3772

3772 = 2 x 2 x 23 x 41

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 = 3560768 = 2 x 2 x 2 x 2 x 2 x 2 x 23 x 41 x 59

Step 4: Therefore, the least common multiple of 3772 and 3776 is 3560768.