Least Common Multiple of 2970 and 2974

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 2974 the smallest integer that is 4416390 that is divisible by both numbers.

Least Common Multiple (LCM) of 2970 and 2974 is 4416390.

LCM(2970,2974) = 4416390

LCM of 2970 and 2974

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

LCM of:
and

Least Common Multiple of 2970 and 2974

LCM of 2970 and 2974 is 4416390

Least common multiple can be found by multiplying the highest exponent prime factors of 2970 and 2974. First we will calculate the prime factors of 2970 and 2974.

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 2974


2 2974
1487 1487
1

Prime factors of 2974 are 2,1487. Prime factorization of 2974 in exponential form is:

2974 = 21×14871

Now multiplying the highest exponent prime factors to calculate the LCM of 2970 and 2974.

LCM(2970,2974) = 21×33×51×111×14871
LCM(2970,2974) = 4416390

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 2974

List of positive integer factors of 2974 that divides 2974 without a remainder.

1, 2, 1487, 2974

Least Common Multiple of 2970 and 2974 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 2974, than apply into the LCM equation.

GCF(2970,2974) = 2
LCM(2970,2974) = ( 2970 × 2974) / 2
LCM(2970,2974) = 8832780 / 2
LCM(2970,2974) = 4416390

Properties of LCM 2970 and 2974

(i) The LCM of 2974 and 2970 is associative

LCM of 2970 and 2974 = LCM of 2974 and 2970

Related Least Common Multiples of 2970

Related Least Common Multiples of 2974

Frequently Asked Questions on LCM of 2970 and 2974

1. What is the LCM of 2970 and 2974?

Answer: LCM of 2970 and 2974 is 4416390.

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 2974?

Answer: Factors of 2974 are 1, 2, 1487, 2974. There are 4 integers that are factors of 2974. The greatest factor of 2974 is 2974.

4. How to Find the LCM of 2970 and 2974?

Answer:

Least Common Multiple of 2970 and 2974 = 4416390

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 2974

2974 = 2 x 1487

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

LCM = 4416390 = 2 x 3 x 3 x 3 x 5 x 11 x 1487

Step 4: Therefore, the least common multiple of 2970 and 2974 is 4416390.