Least Common Multiple of 3772 and 3778

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 3778 the smallest integer that is 7125308 that is divisible by both numbers.

Least Common Multiple (LCM) of 3772 and 3778 is 7125308.

LCM(3772,3778) = 7125308

LCM of 3772 and 3778

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

LCM of:
and

Least Common Multiple of 3772 and 3778

LCM of 3772 and 3778 is 7125308

Least common multiple can be found by multiplying the highest exponent prime factors of 3772 and 3778. First we will calculate the prime factors of 3772 and 3778.

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 3778


2 3778
1889 1889
1

Prime factors of 3778 are 2,1889. Prime factorization of 3778 in exponential form is:

3778 = 21×18891

Now multiplying the highest exponent prime factors to calculate the LCM of 3772 and 3778.

LCM(3772,3778) = 22×231×411×18891
LCM(3772,3778) = 7125308

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 3778

List of positive integer factors of 3778 that divides 3778 without a remainder.

1, 2, 1889, 3778

Least Common Multiple of 3772 and 3778 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 3778, than apply into the LCM equation.

GCF(3772,3778) = 2
LCM(3772,3778) = ( 3772 × 3778) / 2
LCM(3772,3778) = 14250616 / 2
LCM(3772,3778) = 7125308

Properties of LCM 3772 and 3778

(i) The LCM of 3778 and 3772 is associative

LCM of 3772 and 3778 = LCM of 3778 and 3772

Related Least Common Multiples of 3772

Related Least Common Multiples of 3778

Frequently Asked Questions on LCM of 3772 and 3778

1. What is the LCM of 3772 and 3778?

Answer: LCM of 3772 and 3778 is 7125308.

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 3778?

Answer: Factors of 3778 are 1, 2, 1889, 3778. There are 4 integers that are factors of 3778. The greatest factor of 3778 is 3778.

4. How to Find the LCM of 3772 and 3778?

Answer:

Least Common Multiple of 3772 and 3778 = 7125308

Step 1: Find the prime factorization of 3772

3772 = 2 x 2 x 23 x 41

Step 2: Find the prime factorization of 3778

3778 = 2 x 1889

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

LCM = 7125308 = 2 x 2 x 23 x 41 x 1889

Step 4: Therefore, the least common multiple of 3772 and 3778 is 7125308.