Least Common Multiple of 3764 and 3770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3764 and 3770 the smallest integer that is 7095140 that is divisible by both numbers.

Least Common Multiple (LCM) of 3764 and 3770 is 7095140.

LCM(3764,3770) = 7095140

LCM of 3764 and 3770

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

LCM of:
and

Least Common Multiple of 3764 and 3770

LCM of 3764 and 3770 is 7095140

Least common multiple can be found by multiplying the highest exponent prime factors of 3764 and 3770. First we will calculate the prime factors of 3764 and 3770.

Prime Factorization of 3764


2 3764
2 1882
941 941
1

Prime factors of 3764 are 2,941. Prime factorization of 3764 in exponential form is:

3764 = 22×9411

Prime Factorization of 3770


2 3770
5 1885
13 377
29 29
1

Prime factors of 3770 are 2, 5, 13,29. Prime factorization of 3770 in exponential form is:

3770 = 21×51×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3764 and 3770.

LCM(3764,3770) = 22×51×131×291×9411
LCM(3764,3770) = 7095140

Factors of 3764

List of positive integer factors of 3764 that divides 3764 without a remainder.

1, 2, 4, 941, 1882, 3764

Factors of 3770

List of positive integer factors of 3770 that divides 3770 without a remainder.

1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770

Least Common Multiple of 3764 and 3770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3764 and 3770, than apply into the LCM equation.

GCF(3764,3770) = 2
LCM(3764,3770) = ( 3764 × 3770) / 2
LCM(3764,3770) = 14190280 / 2
LCM(3764,3770) = 7095140

Properties of LCM 3764 and 3770

(i) The LCM of 3770 and 3764 is associative

LCM of 3764 and 3770 = LCM of 3770 and 3764

Related Least Common Multiples of 3764

Related Least Common Multiples of 3770

Frequently Asked Questions on LCM of 3764 and 3770

1. What is the LCM of 3764 and 3770?

Answer: LCM of 3764 and 3770 is 7095140.

2. What are the Factors of 3764?

Answer: Factors of 3764 are 1, 2, 4, 941, 1882, 3764. There are 6 integers that are factors of 3764. The greatest factor of 3764 is 3764.

3. What are the Factors of 3770?

Answer: Factors of 3770 are 1, 2, 5, 10, 13, 26, 29, 58, 65, 130, 145, 290, 377, 754, 1885, 3770. There are 16 integers that are factors of 3770. The greatest factor of 3770 is 3770.

4. How to Find the LCM of 3764 and 3770?

Answer:

Least Common Multiple of 3764 and 3770 = 7095140

Step 1: Find the prime factorization of 3764

3764 = 2 x 2 x 941

Step 2: Find the prime factorization of 3770

3770 = 2 x 5 x 13 x 29

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

LCM = 7095140 = 2 x 2 x 5 x 13 x 29 x 941

Step 4: Therefore, the least common multiple of 3764 and 3770 is 7095140.