Least Common Multiple of 2978 and 2984

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 2984 the smallest integer that is 4443176 that is divisible by both numbers.

Least Common Multiple (LCM) of 2978 and 2984 is 4443176.

LCM(2978,2984) = 4443176

LCM of 2978 and 2984

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

LCM of:
and

Least Common Multiple of 2978 and 2984

LCM of 2978 and 2984 is 4443176

Least common multiple can be found by multiplying the highest exponent prime factors of 2978 and 2984. First we will calculate the prime factors of 2978 and 2984.

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 2984


2 2984
2 1492
2 746
373 373
1

Prime factors of 2984 are 2,373. Prime factorization of 2984 in exponential form is:

2984 = 23×3731

Now multiplying the highest exponent prime factors to calculate the LCM of 2978 and 2984.

LCM(2978,2984) = 23×3731×14891
LCM(2978,2984) = 4443176

Factors of 2978

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

1, 2, 1489, 2978

Factors of 2984

List of positive integer factors of 2984 that divides 2984 without a remainder.

1, 2, 4, 8, 373, 746, 1492, 2984

Least Common Multiple of 2978 and 2984 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 2984, than apply into the LCM equation.

GCF(2978,2984) = 2
LCM(2978,2984) = ( 2978 × 2984) / 2
LCM(2978,2984) = 8886352 / 2
LCM(2978,2984) = 4443176

Properties of LCM 2978 and 2984

(i) The LCM of 2984 and 2978 is associative

LCM of 2978 and 2984 = LCM of 2984 and 2978

Related Least Common Multiples of 2978

Related Least Common Multiples of 2984

Frequently Asked Questions on LCM of 2978 and 2984

1. What is the LCM of 2978 and 2984?

Answer: LCM of 2978 and 2984 is 4443176.

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 2984?

Answer: Factors of 2984 are 1, 2, 4, 8, 373, 746, 1492, 2984. There are 8 integers that are factors of 2984. The greatest factor of 2984 is 2984.

4. How to Find the LCM of 2978 and 2984?

Answer:

Least Common Multiple of 2978 and 2984 = 4443176

Step 1: Find the prime factorization of 2978

2978 = 2 x 1489

Step 2: Find the prime factorization of 2984

2984 = 2 x 2 x 2 x 373

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

LCM = 4443176 = 2 x 2 x 2 x 373 x 1489

Step 4: Therefore, the least common multiple of 2978 and 2984 is 4443176.