Least Common Multiple of 2974 and 2981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2974 and 2981 the smallest integer that is 8865494 that is divisible by both numbers.

Least Common Multiple (LCM) of 2974 and 2981 is 8865494.

LCM(2974,2981) = 8865494

LCM of 2974 and 2981

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

LCM of:
and

Least Common Multiple of 2974 and 2981

LCM of 2974 and 2981 is 8865494

Least common multiple can be found by multiplying the highest exponent prime factors of 2974 and 2981. First we will calculate the prime factors of 2974 and 2981.

Prime Factorization of 2974


2 2974
1487 1487
1

Prime factors of 2974 are 2,1487. Prime factorization of 2974 in exponential form is:

2974 = 21×14871

Prime Factorization of 2981


11 2981
271 271
1

Prime factors of 2981 are 11,271. Prime factorization of 2981 in exponential form is:

2981 = 111×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 2974 and 2981.

LCM(2974,2981) = 21×111×2711×14871
LCM(2974,2981) = 8865494

Factors of 2974

List of positive integer factors of 2974 that divides 2974 without a remainder.

1, 2, 1487, 2974

Factors of 2981

List of positive integer factors of 2981 that divides 2981 without a remainder.

1, 11, 271, 2981

Least Common Multiple of 2974 and 2981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2974 and 2981, than apply into the LCM equation.

GCF(2974,2981) = 1
LCM(2974,2981) = ( 2974 × 2981) / 1
LCM(2974,2981) = 8865494 / 1
LCM(2974,2981) = 8865494

Properties of LCM 2974 and 2981

(i) The LCM of 2981 and 2974 is associative

LCM of 2974 and 2981 = LCM of 2981 and 2974

Related Least Common Multiples of 2974

Related Least Common Multiples of 2981

Frequently Asked Questions on LCM of 2974 and 2981

1. What is the LCM of 2974 and 2981?

Answer: LCM of 2974 and 2981 is 8865494.

2. What are the Factors of 2974?

Answer: Factors of 2974 are 1, 2, 1487, 2974. There are 4 integers that are factors of 2974. The greatest factor of 2974 is 2974.

3. What are the Factors of 2981?

Answer: Factors of 2981 are 1, 11, 271, 2981. There are 4 integers that are factors of 2981. The greatest factor of 2981 is 2981.

4. How to Find the LCM of 2974 and 2981?

Answer:

Least Common Multiple of 2974 and 2981 = 8865494

Step 1: Find the prime factorization of 2974

2974 = 2 x 1487

Step 2: Find the prime factorization of 2981

2981 = 11 x 271

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

LCM = 8865494 = 2 x 11 x 271 x 1487

Step 4: Therefore, the least common multiple of 2974 and 2981 is 8865494.