Least Common Multiple of 2974 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 2974 and 2982 the smallest integer that is 4434234 that is divisible by both numbers.

Least Common Multiple (LCM) of 2974 and 2982 is 4434234.

LCM(2974,2982) = 4434234

LCM of 2974 and 2982

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

LCM of:
and

Least Common Multiple of 2974 and 2982

LCM of 2974 and 2982 is 4434234

Least common multiple can be found by multiplying the highest exponent prime factors of 2974 and 2982. First we will calculate the prime factors of 2974 and 2982.

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 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 2974 and 2982.

LCM(2974,2982) = 21×31×71×711×14871
LCM(2974,2982) = 4434234

Factors of 2974

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

1, 2, 1487, 2974

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 2974 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 2974 and 2982, than apply into the LCM equation.

GCF(2974,2982) = 2
LCM(2974,2982) = ( 2974 × 2982) / 2
LCM(2974,2982) = 8868468 / 2
LCM(2974,2982) = 4434234

Properties of LCM 2974 and 2982

(i) The LCM of 2982 and 2974 is associative

LCM of 2974 and 2982 = LCM of 2982 and 2974

Related Least Common Multiples of 2974

Related Least Common Multiples of 2982

Frequently Asked Questions on LCM of 2974 and 2982

1. What is the LCM of 2974 and 2982?

Answer: LCM of 2974 and 2982 is 4434234.

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 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 2974 and 2982?

Answer:

Least Common Multiple of 2974 and 2982 = 4434234

Step 1: Find the prime factorization of 2974

2974 = 2 x 1487

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 = 4434234 = 2 x 3 x 7 x 71 x 1487

Step 4: Therefore, the least common multiple of 2974 and 2982 is 4434234.