Least Common Multiple of 2888 and 2892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2888 and 2892 the smallest integer that is 2088024 that is divisible by both numbers.

Least Common Multiple (LCM) of 2888 and 2892 is 2088024.

LCM(2888,2892) = 2088024

LCM of 2888 and 2892

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

LCM of:
and

Least Common Multiple of 2888 and 2892

LCM of 2888 and 2892 is 2088024

Least common multiple can be found by multiplying the highest exponent prime factors of 2888 and 2892. First we will calculate the prime factors of 2888 and 2892.

Prime Factorization of 2888


2 2888
2 1444
2 722
19 361
19 19
1

Prime factors of 2888 are 2,19. Prime factorization of 2888 in exponential form is:

2888 = 23×192

Prime Factorization of 2892


2 2892
2 1446
3 723
241 241
1

Prime factors of 2892 are 2, 3,241. Prime factorization of 2892 in exponential form is:

2892 = 22×31×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 2888 and 2892.

LCM(2888,2892) = 23×31×192×2411
LCM(2888,2892) = 2088024

Factors of 2888

List of positive integer factors of 2888 that divides 2888 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888

Factors of 2892

List of positive integer factors of 2892 that divides 2892 without a remainder.

1, 2, 3, 4, 6, 12, 241, 482, 723, 964, 1446, 2892

Least Common Multiple of 2888 and 2892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2888 and 2892, than apply into the LCM equation.

GCF(2888,2892) = 4
LCM(2888,2892) = ( 2888 × 2892) / 4
LCM(2888,2892) = 8352096 / 4
LCM(2888,2892) = 2088024

Properties of LCM 2888 and 2892

(i) The LCM of 2892 and 2888 is associative

LCM of 2888 and 2892 = LCM of 2892 and 2888

Related Least Common Multiples of 2888

Related Least Common Multiples of 2892

Frequently Asked Questions on LCM of 2888 and 2892

1. What is the LCM of 2888 and 2892?

Answer: LCM of 2888 and 2892 is 2088024.

2. What are the Factors of 2888?

Answer: Factors of 2888 are 1, 2, 4, 8, 19, 38, 76, 152, 361, 722, 1444, 2888. There are 12 integers that are factors of 2888. The greatest factor of 2888 is 2888.

3. What are the Factors of 2892?

Answer: Factors of 2892 are 1, 2, 3, 4, 6, 12, 241, 482, 723, 964, 1446, 2892. There are 12 integers that are factors of 2892. The greatest factor of 2892 is 2892.

4. How to Find the LCM of 2888 and 2892?

Answer:

Least Common Multiple of 2888 and 2892 = 2088024

Step 1: Find the prime factorization of 2888

2888 = 2 x 2 x 2 x 19 x 19

Step 2: Find the prime factorization of 2892

2892 = 2 x 2 x 3 x 241

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

LCM = 2088024 = 2 x 2 x 2 x 3 x 19 x 19 x 241

Step 4: Therefore, the least common multiple of 2888 and 2892 is 2088024.