Least Common Multiple of 2967 and 2974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2967 and 2974 the smallest integer that is 8823858 that is divisible by both numbers.

Least Common Multiple (LCM) of 2967 and 2974 is 8823858.

LCM(2967,2974) = 8823858

LCM of 2967 and 2974

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

LCM of:
and

Least Common Multiple of 2967 and 2974

LCM of 2967 and 2974 is 8823858

Least common multiple can be found by multiplying the highest exponent prime factors of 2967 and 2974. First we will calculate the prime factors of 2967 and 2974.

Prime Factorization of 2967


3 2967
23 989
43 43
1

Prime factors of 2967 are 3, 23,43. Prime factorization of 2967 in exponential form is:

2967 = 31×231×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2967 and 2974.

LCM(2967,2974) = 21×31×231×431×14871
LCM(2967,2974) = 8823858

Factors of 2967

List of positive integer factors of 2967 that divides 2967 without a remainder.

1, 3, 23, 43, 69, 129, 989, 2967

Factors of 2974

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

1, 2, 1487, 2974

Least Common Multiple of 2967 and 2974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2967 and 2974, than apply into the LCM equation.

GCF(2967,2974) = 1
LCM(2967,2974) = ( 2967 × 2974) / 1
LCM(2967,2974) = 8823858 / 1
LCM(2967,2974) = 8823858

Properties of LCM 2967 and 2974

(i) The LCM of 2974 and 2967 is associative

LCM of 2967 and 2974 = LCM of 2974 and 2967

Related Least Common Multiples of 2967

Related Least Common Multiples of 2974

Frequently Asked Questions on LCM of 2967 and 2974

1. What is the LCM of 2967 and 2974?

Answer: LCM of 2967 and 2974 is 8823858.

2. What are the Factors of 2967?

Answer: Factors of 2967 are 1, 3, 23, 43, 69, 129, 989, 2967. There are 8 integers that are factors of 2967. The greatest factor of 2967 is 2967.

3. 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.

4. How to Find the LCM of 2967 and 2974?

Answer:

Least Common Multiple of 2967 and 2974 = 8823858

Step 1: Find the prime factorization of 2967

2967 = 3 x 23 x 43

Step 2: Find the prime factorization of 2974

2974 = 2 x 1487

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

LCM = 8823858 = 2 x 3 x 23 x 43 x 1487

Step 4: Therefore, the least common multiple of 2967 and 2974 is 8823858.