Least Common Multiple of 2971 and 2978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2971 and 2978 the smallest integer that is 8847638 that is divisible by both numbers.

Least Common Multiple (LCM) of 2971 and 2978 is 8847638.

LCM(2971,2978) = 8847638

LCM of 2971 and 2978

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

LCM of:
and

Least Common Multiple of 2971 and 2978

LCM of 2971 and 2978 is 8847638

Least common multiple can be found by multiplying the highest exponent prime factors of 2971 and 2978. First we will calculate the prime factors of 2971 and 2978.

Prime Factorization of 2971


2971 2971
1

Prime factors of 2971 are 2971. Prime factorization of 2971 in exponential form is:

2971 = 29711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2971 and 2978.

LCM(2971,2978) = 21×14891×29711
LCM(2971,2978) = 8847638

Factors of 2971

List of positive integer factors of 2971 that divides 2971 without a remainder.

1, 2971

Factors of 2978

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

1, 2, 1489, 2978

Least Common Multiple of 2971 and 2978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2971 and 2978, than apply into the LCM equation.

GCF(2971,2978) = 1
LCM(2971,2978) = ( 2971 × 2978) / 1
LCM(2971,2978) = 8847638 / 1
LCM(2971,2978) = 8847638

Properties of LCM 2971 and 2978

(i) The LCM of 2978 and 2971 is associative

LCM of 2971 and 2978 = LCM of 2978 and 2971

Related Least Common Multiples of 2971

Related Least Common Multiples of 2978

Frequently Asked Questions on LCM of 2971 and 2978

1. What is the LCM of 2971 and 2978?

Answer: LCM of 2971 and 2978 is 8847638.

2. What are the Factors of 2971?

Answer: Factors of 2971 are 1, 2971. There are 2 integers that are factors of 2971. The greatest factor of 2971 is 2971.

3. 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.

4. How to Find the LCM of 2971 and 2978?

Answer:

Least Common Multiple of 2971 and 2978 = 8847638

Step 1: Find the prime factorization of 2971

2971 = 2971

Step 2: Find the prime factorization of 2978

2978 = 2 x 1489

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

LCM = 8847638 = 2 x 1489 x 2971

Step 4: Therefore, the least common multiple of 2971 and 2978 is 8847638.