Least Common Multiple of 2970 and 2975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2970 and 2975 the smallest integer that is 1767150 that is divisible by both numbers.

Least Common Multiple (LCM) of 2970 and 2975 is 1767150.

LCM(2970,2975) = 1767150

LCM of 2970 and 2975

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

LCM of:
and

Least Common Multiple of 2970 and 2975

LCM of 2970 and 2975 is 1767150

Least common multiple can be found by multiplying the highest exponent prime factors of 2970 and 2975. First we will calculate the prime factors of 2970 and 2975.

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

Prime Factorization of 2975


5 2975
5 595
7 119
17 17
1

Prime factors of 2975 are 5, 7,17. Prime factorization of 2975 in exponential form is:

2975 = 52×71×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2970 and 2975.

LCM(2970,2975) = 21×33×52×71×111×171
LCM(2970,2975) = 1767150

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

Factors of 2975

List of positive integer factors of 2975 that divides 2975 without a remainder.

1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975

Least Common Multiple of 2970 and 2975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2970 and 2975, than apply into the LCM equation.

GCF(2970,2975) = 5
LCM(2970,2975) = ( 2970 × 2975) / 5
LCM(2970,2975) = 8835750 / 5
LCM(2970,2975) = 1767150

Properties of LCM 2970 and 2975

(i) The LCM of 2975 and 2970 is associative

LCM of 2970 and 2975 = LCM of 2975 and 2970

Related Least Common Multiples of 2970

Related Least Common Multiples of 2975

Frequently Asked Questions on LCM of 2970 and 2975

1. What is the LCM of 2970 and 2975?

Answer: LCM of 2970 and 2975 is 1767150.

2. 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.

3. What are the Factors of 2975?

Answer: Factors of 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975. There are 12 integers that are factors of 2975. The greatest factor of 2975 is 2975.

4. How to Find the LCM of 2970 and 2975?

Answer:

Least Common Multiple of 2970 and 2975 = 1767150

Step 1: Find the prime factorization of 2970

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

Step 2: Find the prime factorization of 2975

2975 = 5 x 5 x 7 x 17

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

LCM = 1767150 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 2970 and 2975 is 1767150.