Least Common Multiple of 2978 and 2982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2978 and 2982 the smallest integer that is 4440198 that is divisible by both numbers.

Least Common Multiple (LCM) of 2978 and 2982 is 4440198.

LCM(2978,2982) = 4440198

LCM of 2978 and 2982

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

LCM of:
and

Least Common Multiple of 2978 and 2982

LCM of 2978 and 2982 is 4440198

Least common multiple can be found by multiplying the highest exponent prime factors of 2978 and 2982. First we will calculate the prime factors of 2978 and 2982.

Prime Factorization of 2978


2 2978
1489 1489
1

Prime factors of 2978 are 2,1489. Prime factorization of 2978 in exponential form is:

2978 = 21×14891

Prime Factorization of 2982


2 2982
3 1491
7 497
71 71
1

Prime factors of 2982 are 2, 3, 7,71. Prime factorization of 2982 in exponential form is:

2982 = 21×31×71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2978 and 2982.

LCM(2978,2982) = 21×31×71×711×14891
LCM(2978,2982) = 4440198

Factors of 2978

List of positive integer factors of 2978 that divides 2978 without a remainder.

1, 2, 1489, 2978

Factors of 2982

List of positive integer factors of 2982 that divides 2982 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982

Least Common Multiple of 2978 and 2982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2978 and 2982, than apply into the LCM equation.

GCF(2978,2982) = 2
LCM(2978,2982) = ( 2978 × 2982) / 2
LCM(2978,2982) = 8880396 / 2
LCM(2978,2982) = 4440198

Properties of LCM 2978 and 2982

(i) The LCM of 2982 and 2978 is associative

LCM of 2978 and 2982 = LCM of 2982 and 2978

Related Least Common Multiples of 2978

Related Least Common Multiples of 2982

Frequently Asked Questions on LCM of 2978 and 2982

1. What is the LCM of 2978 and 2982?

Answer: LCM of 2978 and 2982 is 4440198.

2. What are the Factors of 2978?

Answer: Factors of 2978 are 1, 2, 1489, 2978. There are 4 integers that are factors of 2978. The greatest factor of 2978 is 2978.

3. What are the Factors of 2982?

Answer: Factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982. There are 16 integers that are factors of 2982. The greatest factor of 2982 is 2982.

4. How to Find the LCM of 2978 and 2982?

Answer:

Least Common Multiple of 2978 and 2982 = 4440198

Step 1: Find the prime factorization of 2978

2978 = 2 x 1489

Step 2: Find the prime factorization of 2982

2982 = 2 x 3 x 7 x 71

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

LCM = 4440198 = 2 x 3 x 7 x 71 x 1489

Step 4: Therefore, the least common multiple of 2978 and 2982 is 4440198.