Least Common Multiple of 2978 and 2983

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 2983 the smallest integer that is 8883374 that is divisible by both numbers.

Least Common Multiple (LCM) of 2978 and 2983 is 8883374.

LCM(2978,2983) = 8883374

LCM of 2978 and 2983

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

LCM of:
and

Least Common Multiple of 2978 and 2983

LCM of 2978 and 2983 is 8883374

Least common multiple can be found by multiplying the highest exponent prime factors of 2978 and 2983. First we will calculate the prime factors of 2978 and 2983.

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 2983


19 2983
157 157
1

Prime factors of 2983 are 19,157. Prime factorization of 2983 in exponential form is:

2983 = 191×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 2978 and 2983.

LCM(2978,2983) = 21×191×1571×14891
LCM(2978,2983) = 8883374

Factors of 2978

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

1, 2, 1489, 2978

Factors of 2983

List of positive integer factors of 2983 that divides 2983 without a remainder.

1, 19, 157, 2983

Least Common Multiple of 2978 and 2983 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 2983, than apply into the LCM equation.

GCF(2978,2983) = 1
LCM(2978,2983) = ( 2978 × 2983) / 1
LCM(2978,2983) = 8883374 / 1
LCM(2978,2983) = 8883374

Properties of LCM 2978 and 2983

(i) The LCM of 2983 and 2978 is associative

LCM of 2978 and 2983 = LCM of 2983 and 2978

Related Least Common Multiples of 2978

Related Least Common Multiples of 2983

Frequently Asked Questions on LCM of 2978 and 2983

1. What is the LCM of 2978 and 2983?

Answer: LCM of 2978 and 2983 is 8883374.

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 2983?

Answer: Factors of 2983 are 1, 19, 157, 2983. There are 4 integers that are factors of 2983. The greatest factor of 2983 is 2983.

4. How to Find the LCM of 2978 and 2983?

Answer:

Least Common Multiple of 2978 and 2983 = 8883374

Step 1: Find the prime factorization of 2978

2978 = 2 x 1489

Step 2: Find the prime factorization of 2983

2983 = 19 x 157

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

LCM = 8883374 = 2 x 19 x 157 x 1489

Step 4: Therefore, the least common multiple of 2978 and 2983 is 8883374.