Least Common Multiple of 2970 and 2978

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 2978 the smallest integer that is 4422330 that is divisible by both numbers.

Least Common Multiple (LCM) of 2970 and 2978 is 4422330.

LCM(2970,2978) = 4422330

LCM of 2970 and 2978

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

LCM of:
and

Least Common Multiple of 2970 and 2978

LCM of 2970 and 2978 is 4422330

Least common multiple can be found by multiplying the highest exponent prime factors of 2970 and 2978. First we will calculate the prime factors of 2970 and 2978.

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 2978


2 2978
1489 1489
1

Prime factors of 2978 are 2,1489. Prime factorization of 2978 in exponential form is:

2978 = 21×14891

Now multiplying the highest exponent prime factors to calculate the LCM of 2970 and 2978.

LCM(2970,2978) = 21×33×51×111×14891
LCM(2970,2978) = 4422330

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 2978

List of positive integer factors of 2978 that divides 2978 without a remainder.

1, 2, 1489, 2978

Least Common Multiple of 2970 and 2978 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 2978, than apply into the LCM equation.

GCF(2970,2978) = 2
LCM(2970,2978) = ( 2970 × 2978) / 2
LCM(2970,2978) = 8844660 / 2
LCM(2970,2978) = 4422330

Properties of LCM 2970 and 2978

(i) The LCM of 2978 and 2970 is associative

LCM of 2970 and 2978 = LCM of 2978 and 2970

Related Least Common Multiples of 2970

Related Least Common Multiples of 2978

Frequently Asked Questions on LCM of 2970 and 2978

1. What is the LCM of 2970 and 2978?

Answer: LCM of 2970 and 2978 is 4422330.

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 2978?

Answer: Factors of 2978 are 1, 2, 1489, 2978. There are 4 integers that are factors of 2978. The greatest factor of 2978 is 2978.

4. How to Find the LCM of 2970 and 2978?

Answer:

Least Common Multiple of 2970 and 2978 = 4422330

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 2978

2978 = 2 x 1489

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

LCM = 4422330 = 2 x 3 x 3 x 3 x 5 x 11 x 1489

Step 4: Therefore, the least common multiple of 2970 and 2978 is 4422330.