Least Common Multiple of 3880 and 3884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3880 and 3884 the smallest integer that is 3767480 that is divisible by both numbers.

Least Common Multiple (LCM) of 3880 and 3884 is 3767480.

LCM(3880,3884) = 3767480

LCM of 3880 and 3884

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

LCM of:
and

Least Common Multiple of 3880 and 3884

LCM of 3880 and 3884 is 3767480

Least common multiple can be found by multiplying the highest exponent prime factors of 3880 and 3884. First we will calculate the prime factors of 3880 and 3884.

Prime Factorization of 3880


2 3880
2 1940
2 970
5 485
97 97
1

Prime factors of 3880 are 2, 5,97. Prime factorization of 3880 in exponential form is:

3880 = 23×51×971

Prime Factorization of 3884


2 3884
2 1942
971 971
1

Prime factors of 3884 are 2,971. Prime factorization of 3884 in exponential form is:

3884 = 22×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 3880 and 3884.

LCM(3880,3884) = 23×51×971×9711
LCM(3880,3884) = 3767480

Factors of 3880

List of positive integer factors of 3880 that divides 3880 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880

Factors of 3884

List of positive integer factors of 3884 that divides 3884 without a remainder.

1, 2, 4, 971, 1942, 3884

Least Common Multiple of 3880 and 3884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3880 and 3884, than apply into the LCM equation.

GCF(3880,3884) = 4
LCM(3880,3884) = ( 3880 × 3884) / 4
LCM(3880,3884) = 15069920 / 4
LCM(3880,3884) = 3767480

Properties of LCM 3880 and 3884

(i) The LCM of 3884 and 3880 is associative

LCM of 3880 and 3884 = LCM of 3884 and 3880

Related Least Common Multiples of 3880

Related Least Common Multiples of 3884

Frequently Asked Questions on LCM of 3880 and 3884

1. What is the LCM of 3880 and 3884?

Answer: LCM of 3880 and 3884 is 3767480.

2. What are the Factors of 3880?

Answer: Factors of 3880 are 1, 2, 4, 5, 8, 10, 20, 40, 97, 194, 388, 485, 776, 970, 1940, 3880. There are 16 integers that are factors of 3880. The greatest factor of 3880 is 3880.

3. What are the Factors of 3884?

Answer: Factors of 3884 are 1, 2, 4, 971, 1942, 3884. There are 6 integers that are factors of 3884. The greatest factor of 3884 is 3884.

4. How to Find the LCM of 3880 and 3884?

Answer:

Least Common Multiple of 3880 and 3884 = 3767480

Step 1: Find the prime factorization of 3880

3880 = 2 x 2 x 2 x 5 x 97

Step 2: Find the prime factorization of 3884

3884 = 2 x 2 x 971

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

LCM = 3767480 = 2 x 2 x 2 x 5 x 97 x 971

Step 4: Therefore, the least common multiple of 3880 and 3884 is 3767480.