Least Common Multiple of 2965 and 2973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2965 and 2973 the smallest integer that is 8814945 that is divisible by both numbers.

Least Common Multiple (LCM) of 2965 and 2973 is 8814945.

LCM(2965,2973) = 8814945

LCM of 2965 and 2973

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

LCM of:
and

Least Common Multiple of 2965 and 2973

LCM of 2965 and 2973 is 8814945

Least common multiple can be found by multiplying the highest exponent prime factors of 2965 and 2973. First we will calculate the prime factors of 2965 and 2973.

Prime Factorization of 2965


5 2965
593 593
1

Prime factors of 2965 are 5,593. Prime factorization of 2965 in exponential form is:

2965 = 51×5931

Prime Factorization of 2973


3 2973
991 991
1

Prime factors of 2973 are 3,991. Prime factorization of 2973 in exponential form is:

2973 = 31×9911

Now multiplying the highest exponent prime factors to calculate the LCM of 2965 and 2973.

LCM(2965,2973) = 31×51×5931×9911
LCM(2965,2973) = 8814945

Factors of 2965

List of positive integer factors of 2965 that divides 2965 without a remainder.

1, 5, 593, 2965

Factors of 2973

List of positive integer factors of 2973 that divides 2973 without a remainder.

1, 3, 991, 2973

Least Common Multiple of 2965 and 2973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2965 and 2973, than apply into the LCM equation.

GCF(2965,2973) = 1
LCM(2965,2973) = ( 2965 × 2973) / 1
LCM(2965,2973) = 8814945 / 1
LCM(2965,2973) = 8814945

Properties of LCM 2965 and 2973

(i) The LCM of 2973 and 2965 is associative

LCM of 2965 and 2973 = LCM of 2973 and 2965

Related Least Common Multiples of 2965

Related Least Common Multiples of 2973

Frequently Asked Questions on LCM of 2965 and 2973

1. What is the LCM of 2965 and 2973?

Answer: LCM of 2965 and 2973 is 8814945.

2. What are the Factors of 2965?

Answer: Factors of 2965 are 1, 5, 593, 2965. There are 4 integers that are factors of 2965. The greatest factor of 2965 is 2965.

3. What are the Factors of 2973?

Answer: Factors of 2973 are 1, 3, 991, 2973. There are 4 integers that are factors of 2973. The greatest factor of 2973 is 2973.

4. How to Find the LCM of 2965 and 2973?

Answer:

Least Common Multiple of 2965 and 2973 = 8814945

Step 1: Find the prime factorization of 2965

2965 = 5 x 593

Step 2: Find the prime factorization of 2973

2973 = 3 x 991

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

LCM = 8814945 = 3 x 5 x 593 x 991

Step 4: Therefore, the least common multiple of 2965 and 2973 is 8814945.