Least Common Multiple of 2992 and 2998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2992 and 2998 the smallest integer that is 4485008 that is divisible by both numbers.

Least Common Multiple (LCM) of 2992 and 2998 is 4485008.

LCM(2992,2998) = 4485008

LCM of 2992 and 2998

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

LCM of:
and

Least Common Multiple of 2992 and 2998

LCM of 2992 and 2998 is 4485008

Least common multiple can be found by multiplying the highest exponent prime factors of 2992 and 2998. First we will calculate the prime factors of 2992 and 2998.

Prime Factorization of 2992


2 2992
2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 2992 are 2, 11,17. Prime factorization of 2992 in exponential form is:

2992 = 24×111×171

Prime Factorization of 2998


2 2998
1499 1499
1

Prime factors of 2998 are 2,1499. Prime factorization of 2998 in exponential form is:

2998 = 21×14991

Now multiplying the highest exponent prime factors to calculate the LCM of 2992 and 2998.

LCM(2992,2998) = 24×111×171×14991
LCM(2992,2998) = 4485008

Factors of 2992

List of positive integer factors of 2992 that divides 2992 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1, 2, 1499, 2998

Least Common Multiple of 2992 and 2998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2992 and 2998, than apply into the LCM equation.

GCF(2992,2998) = 2
LCM(2992,2998) = ( 2992 × 2998) / 2
LCM(2992,2998) = 8970016 / 2
LCM(2992,2998) = 4485008

Properties of LCM 2992 and 2998

(i) The LCM of 2998 and 2992 is associative

LCM of 2992 and 2998 = LCM of 2998 and 2992

Related Least Common Multiples of 2992

Related Least Common Multiples of 2998

Frequently Asked Questions on LCM of 2992 and 2998

1. What is the LCM of 2992 and 2998?

Answer: LCM of 2992 and 2998 is 4485008.

2. What are the Factors of 2992?

Answer: Factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992. There are 20 integers that are factors of 2992. The greatest factor of 2992 is 2992.

3. What are the Factors of 2998?

Answer: Factors of 2998 are 1, 2, 1499, 2998. There are 4 integers that are factors of 2998. The greatest factor of 2998 is 2998.

4. How to Find the LCM of 2992 and 2998?

Answer:

Least Common Multiple of 2992 and 2998 = 4485008

Step 1: Find the prime factorization of 2992

2992 = 2 x 2 x 2 x 2 x 11 x 17

Step 2: Find the prime factorization of 2998

2998 = 2 x 1499

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

LCM = 4485008 = 2 x 2 x 2 x 2 x 11 x 17 x 1499

Step 4: Therefore, the least common multiple of 2992 and 2998 is 4485008.