Least Common Multiple of 9972 and 9977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9972 and 9977 the smallest integer that is 99490644 that is divisible by both numbers.

Least Common Multiple (LCM) of 9972 and 9977 is 99490644.

LCM(9972,9977) = 99490644

LCM of 9972 and 9977

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

LCM of:
and

Least Common Multiple of 9972 and 9977

LCM of 9972 and 9977 is 99490644

Least common multiple can be found by multiplying the highest exponent prime factors of 9972 and 9977. First we will calculate the prime factors of 9972 and 9977.

Prime Factorization of 9972


2 9972
2 4986
3 2493
3 831
277 277
1

Prime factors of 9972 are 2, 3,277. Prime factorization of 9972 in exponential form is:

9972 = 22×32×2771

Prime Factorization of 9977


11 9977
907 907
1

Prime factors of 9977 are 11,907. Prime factorization of 9977 in exponential form is:

9977 = 111×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 9972 and 9977.

LCM(9972,9977) = 22×32×111×2771×9071
LCM(9972,9977) = 99490644

Factors of 9972

List of positive integer factors of 9972 that divides 9972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972

Factors of 9977

List of positive integer factors of 9977 that divides 9977 without a remainder.

1, 11, 907, 9977

Least Common Multiple of 9972 and 9977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9972 and 9977, than apply into the LCM equation.

GCF(9972,9977) = 1
LCM(9972,9977) = ( 9972 × 9977) / 1
LCM(9972,9977) = 99490644 / 1
LCM(9972,9977) = 99490644

Properties of LCM 9972 and 9977

(i) The LCM of 9977 and 9972 is associative

LCM of 9972 and 9977 = LCM of 9977 and 9972

Related Least Common Multiples of 9972

Related Least Common Multiples of 9977

Frequently Asked Questions on LCM of 9972 and 9977

1. What is the LCM of 9972 and 9977?

Answer: LCM of 9972 and 9977 is 99490644.

2. What are the Factors of 9972?

Answer: Factors of 9972 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 277, 554, 831, 1108, 1662, 2493, 3324, 4986, 9972. There are 18 integers that are factors of 9972. The greatest factor of 9972 is 9972.

3. What are the Factors of 9977?

Answer: Factors of 9977 are 1, 11, 907, 9977. There are 4 integers that are factors of 9977. The greatest factor of 9977 is 9977.

4. How to Find the LCM of 9972 and 9977?

Answer:

Least Common Multiple of 9972 and 9977 = 99490644

Step 1: Find the prime factorization of 9972

9972 = 2 x 2 x 3 x 3 x 277

Step 2: Find the prime factorization of 9977

9977 = 11 x 907

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

LCM = 99490644 = 2 x 2 x 3 x 3 x 11 x 277 x 907

Step 4: Therefore, the least common multiple of 9972 and 9977 is 99490644.