Least Common Multiple of 9970 and 9974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9970 and 9974 the smallest integer that is 49720390 that is divisible by both numbers.

Least Common Multiple (LCM) of 9970 and 9974 is 49720390.

LCM(9970,9974) = 49720390

LCM of 9970 and 9974

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

LCM of:
and

Least Common Multiple of 9970 and 9974

LCM of 9970 and 9974 is 49720390

Least common multiple can be found by multiplying the highest exponent prime factors of 9970 and 9974. First we will calculate the prime factors of 9970 and 9974.

Prime Factorization of 9970


2 9970
5 4985
997 997
1

Prime factors of 9970 are 2, 5,997. Prime factorization of 9970 in exponential form is:

9970 = 21×51×9971

Prime Factorization of 9974


2 9974
4987 4987
1

Prime factors of 9974 are 2,4987. Prime factorization of 9974 in exponential form is:

9974 = 21×49871

Now multiplying the highest exponent prime factors to calculate the LCM of 9970 and 9974.

LCM(9970,9974) = 21×51×9971×49871
LCM(9970,9974) = 49720390

Factors of 9970

List of positive integer factors of 9970 that divides 9970 without a remainder.

1, 2, 5, 10, 997, 1994, 4985, 9970

Factors of 9974

List of positive integer factors of 9974 that divides 9974 without a remainder.

1, 2, 4987, 9974

Least Common Multiple of 9970 and 9974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9970 and 9974, than apply into the LCM equation.

GCF(9970,9974) = 2
LCM(9970,9974) = ( 9970 × 9974) / 2
LCM(9970,9974) = 99440780 / 2
LCM(9970,9974) = 49720390

Properties of LCM 9970 and 9974

(i) The LCM of 9974 and 9970 is associative

LCM of 9970 and 9974 = LCM of 9974 and 9970

Related Least Common Multiples of 9970

Related Least Common Multiples of 9974

Frequently Asked Questions on LCM of 9970 and 9974

1. What is the LCM of 9970 and 9974?

Answer: LCM of 9970 and 9974 is 49720390.

2. What are the Factors of 9970?

Answer: Factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970. There are 8 integers that are factors of 9970. The greatest factor of 9970 is 9970.

3. What are the Factors of 9974?

Answer: Factors of 9974 are 1, 2, 4987, 9974. There are 4 integers that are factors of 9974. The greatest factor of 9974 is 9974.

4. How to Find the LCM of 9970 and 9974?

Answer:

Least Common Multiple of 9970 and 9974 = 49720390

Step 1: Find the prime factorization of 9970

9970 = 2 x 5 x 997

Step 2: Find the prime factorization of 9974

9974 = 2 x 4987

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

LCM = 49720390 = 2 x 5 x 997 x 4987

Step 4: Therefore, the least common multiple of 9970 and 9974 is 49720390.