Least Common Multiple of 2965 and 2970

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 2970 the smallest integer that is 1761210 that is divisible by both numbers.

Least Common Multiple (LCM) of 2965 and 2970 is 1761210.

LCM(2965,2970) = 1761210

LCM of 2965 and 2970

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

LCM of:
and

Least Common Multiple of 2965 and 2970

LCM of 2965 and 2970 is 1761210

Least common multiple can be found by multiplying the highest exponent prime factors of 2965 and 2970. First we will calculate the prime factors of 2965 and 2970.

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 2970


2 2970
3 1485
3 495
3 165
5 55
11 11
1

Prime factors of 2970 are 2, 3, 5,11. Prime factorization of 2970 in exponential form is:

2970 = 21×33×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2965 and 2970.

LCM(2965,2970) = 21×33×51×111×5931
LCM(2965,2970) = 1761210

Factors of 2965

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

1, 5, 593, 2965

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970

Least Common Multiple of 2965 and 2970 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 2970, than apply into the LCM equation.

GCF(2965,2970) = 5
LCM(2965,2970) = ( 2965 × 2970) / 5
LCM(2965,2970) = 8806050 / 5
LCM(2965,2970) = 1761210

Properties of LCM 2965 and 2970

(i) The LCM of 2970 and 2965 is associative

LCM of 2965 and 2970 = LCM of 2970 and 2965

Related Least Common Multiples of 2965

Related Least Common Multiples of 2970

Frequently Asked Questions on LCM of 2965 and 2970

1. What is the LCM of 2965 and 2970?

Answer: LCM of 2965 and 2970 is 1761210.

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 2970?

Answer: Factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970. There are 32 integers that are factors of 2970. The greatest factor of 2970 is 2970.

4. How to Find the LCM of 2965 and 2970?

Answer:

Least Common Multiple of 2965 and 2970 = 1761210

Step 1: Find the prime factorization of 2965

2965 = 5 x 593

Step 2: Find the prime factorization of 2970

2970 = 2 x 3 x 3 x 3 x 5 x 11

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

LCM = 1761210 = 2 x 3 x 3 x 3 x 5 x 11 x 593

Step 4: Therefore, the least common multiple of 2965 and 2970 is 1761210.