Least Common Multiple of 2967 and 2972

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 2972 the smallest integer that is 8817924 that is divisible by both numbers.

Least Common Multiple (LCM) of 2967 and 2972 is 8817924.

LCM(2967,2972) = 8817924

LCM of 2967 and 2972

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

LCM of:
and

Least Common Multiple of 2967 and 2972

LCM of 2967 and 2972 is 8817924

Least common multiple can be found by multiplying the highest exponent prime factors of 2967 and 2972. First we will calculate the prime factors of 2967 and 2972.

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 2972


2 2972
2 1486
743 743
1

Prime factors of 2972 are 2,743. Prime factorization of 2972 in exponential form is:

2972 = 22×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 2967 and 2972.

LCM(2967,2972) = 22×31×231×431×7431
LCM(2967,2972) = 8817924

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 2972

List of positive integer factors of 2972 that divides 2972 without a remainder.

1, 2, 4, 743, 1486, 2972

Least Common Multiple of 2967 and 2972 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 2972, than apply into the LCM equation.

GCF(2967,2972) = 1
LCM(2967,2972) = ( 2967 × 2972) / 1
LCM(2967,2972) = 8817924 / 1
LCM(2967,2972) = 8817924

Properties of LCM 2967 and 2972

(i) The LCM of 2972 and 2967 is associative

LCM of 2967 and 2972 = LCM of 2972 and 2967

Related Least Common Multiples of 2967

Related Least Common Multiples of 2972

Frequently Asked Questions on LCM of 2967 and 2972

1. What is the LCM of 2967 and 2972?

Answer: LCM of 2967 and 2972 is 8817924.

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 2972?

Answer: Factors of 2972 are 1, 2, 4, 743, 1486, 2972. There are 6 integers that are factors of 2972. The greatest factor of 2972 is 2972.

4. How to Find the LCM of 2967 and 2972?

Answer:

Least Common Multiple of 2967 and 2972 = 8817924

Step 1: Find the prime factorization of 2967

2967 = 3 x 23 x 43

Step 2: Find the prime factorization of 2972

2972 = 2 x 2 x 743

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

LCM = 8817924 = 2 x 2 x 3 x 23 x 43 x 743

Step 4: Therefore, the least common multiple of 2967 and 2972 is 8817924.