Least Common Multiple of 9967 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 9967 and 9974 the smallest integer that is 99410858 that is divisible by both numbers.

Least Common Multiple (LCM) of 9967 and 9974 is 99410858.

LCM(9967,9974) = 99410858

LCM of 9967 and 9974

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

LCM of:
and

Least Common Multiple of 9967 and 9974

LCM of 9967 and 9974 is 99410858

Least common multiple can be found by multiplying the highest exponent prime factors of 9967 and 9974. First we will calculate the prime factors of 9967 and 9974.

Prime Factorization of 9967


9967 9967
1

Prime factors of 9967 are 9967. Prime factorization of 9967 in exponential form is:

9967 = 99671

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 9967 and 9974.

LCM(9967,9974) = 21×49871×99671
LCM(9967,9974) = 99410858

Factors of 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1, 9967

Factors of 9974

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

1, 2, 4987, 9974

Least Common Multiple of 9967 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 9967 and 9974, than apply into the LCM equation.

GCF(9967,9974) = 1
LCM(9967,9974) = ( 9967 × 9974) / 1
LCM(9967,9974) = 99410858 / 1
LCM(9967,9974) = 99410858

Properties of LCM 9967 and 9974

(i) The LCM of 9974 and 9967 is associative

LCM of 9967 and 9974 = LCM of 9974 and 9967

Related Least Common Multiples of 9967

Related Least Common Multiples of 9974

Frequently Asked Questions on LCM of 9967 and 9974

1. What is the LCM of 9967 and 9974?

Answer: LCM of 9967 and 9974 is 99410858.

2. What are the Factors of 9967?

Answer: Factors of 9967 are 1, 9967. There are 2 integers that are factors of 9967. The greatest factor of 9967 is 9967.

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 9967 and 9974?

Answer:

Least Common Multiple of 9967 and 9974 = 99410858

Step 1: Find the prime factorization of 9967

9967 = 9967

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 = 99410858 = 2 x 4987 x 9967

Step 4: Therefore, the least common multiple of 9967 and 9974 is 99410858.