Least Common Multiple of 2996 and 3002

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2996 and 3002 the smallest integer that is 4496996 that is divisible by both numbers.

Least Common Multiple (LCM) of 2996 and 3002 is 4496996.

LCM(2996,3002) = 4496996

LCM of 2996 and 3002

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

LCM of:
and

Least Common Multiple of 2996 and 3002

LCM of 2996 and 3002 is 4496996

Least common multiple can be found by multiplying the highest exponent prime factors of 2996 and 3002. First we will calculate the prime factors of 2996 and 3002.

Prime Factorization of 2996


2 2996
2 1498
7 749
107 107
1

Prime factors of 2996 are 2, 7,107. Prime factorization of 2996 in exponential form is:

2996 = 22×71×1071

Prime Factorization of 3002


2 3002
19 1501
79 79
1

Prime factors of 3002 are 2, 19,79. Prime factorization of 3002 in exponential form is:

3002 = 21×191×791

Now multiplying the highest exponent prime factors to calculate the LCM of 2996 and 3002.

LCM(2996,3002) = 22×71×191×791×1071
LCM(2996,3002) = 4496996

Factors of 2996

List of positive integer factors of 2996 that divides 2996 without a remainder.

1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996

Factors of 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1, 2, 19, 38, 79, 158, 1501, 3002

Least Common Multiple of 2996 and 3002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2996 and 3002, than apply into the LCM equation.

GCF(2996,3002) = 2
LCM(2996,3002) = ( 2996 × 3002) / 2
LCM(2996,3002) = 8993992 / 2
LCM(2996,3002) = 4496996

Properties of LCM 2996 and 3002

(i) The LCM of 3002 and 2996 is associative

LCM of 2996 and 3002 = LCM of 3002 and 2996

Related Least Common Multiples of 2996

Related Least Common Multiples of 3002

Frequently Asked Questions on LCM of 2996 and 3002

1. What is the LCM of 2996 and 3002?

Answer: LCM of 2996 and 3002 is 4496996.

2. What are the Factors of 2996?

Answer: Factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996. There are 12 integers that are factors of 2996. The greatest factor of 2996 is 2996.

3. What are the Factors of 3002?

Answer: Factors of 3002 are 1, 2, 19, 38, 79, 158, 1501, 3002. There are 8 integers that are factors of 3002. The greatest factor of 3002 is 3002.

4. How to Find the LCM of 2996 and 3002?

Answer:

Least Common Multiple of 2996 and 3002 = 4496996

Step 1: Find the prime factorization of 2996

2996 = 2 x 2 x 7 x 107

Step 2: Find the prime factorization of 3002

3002 = 2 x 19 x 79

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

LCM = 4496996 = 2 x 2 x 7 x 19 x 79 x 107

Step 4: Therefore, the least common multiple of 2996 and 3002 is 4496996.