Least Common Multiple of 7975 and 7977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7975 and 7977 the smallest integer that is 63616575 that is divisible by both numbers.

Least Common Multiple (LCM) of 7975 and 7977 is 63616575.

LCM(7975,7977) = 63616575

LCM of 7975 and 7977

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

LCM of:
and

Least Common Multiple of 7975 and 7977

LCM of 7975 and 7977 is 63616575

Least common multiple can be found by multiplying the highest exponent prime factors of 7975 and 7977. First we will calculate the prime factors of 7975 and 7977.

Prime Factorization of 7975


5 7975
5 1595
11 319
29 29
1

Prime factors of 7975 are 5, 11,29. Prime factorization of 7975 in exponential form is:

7975 = 52×111×291

Prime Factorization of 7977


3 7977
2659 2659
1

Prime factors of 7977 are 3,2659. Prime factorization of 7977 in exponential form is:

7977 = 31×26591

Now multiplying the highest exponent prime factors to calculate the LCM of 7975 and 7977.

LCM(7975,7977) = 31×52×111×291×26591
LCM(7975,7977) = 63616575

Factors of 7975

List of positive integer factors of 7975 that divides 7975 without a remainder.

1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975

Factors of 7977

List of positive integer factors of 7977 that divides 7977 without a remainder.

1, 3, 2659, 7977

Least Common Multiple of 7975 and 7977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7975 and 7977, than apply into the LCM equation.

GCF(7975,7977) = 1
LCM(7975,7977) = ( 7975 × 7977) / 1
LCM(7975,7977) = 63616575 / 1
LCM(7975,7977) = 63616575

Properties of LCM 7975 and 7977

(i) The LCM of 7977 and 7975 is associative

LCM of 7975 and 7977 = LCM of 7977 and 7975

Related Least Common Multiples of 7975

Related Least Common Multiples of 7977

Frequently Asked Questions on LCM of 7975 and 7977

1. What is the LCM of 7975 and 7977?

Answer: LCM of 7975 and 7977 is 63616575.

2. What are the Factors of 7975?

Answer: Factors of 7975 are 1, 5, 11, 25, 29, 55, 145, 275, 319, 725, 1595, 7975. There are 12 integers that are factors of 7975. The greatest factor of 7975 is 7975.

3. What are the Factors of 7977?

Answer: Factors of 7977 are 1, 3, 2659, 7977. There are 4 integers that are factors of 7977. The greatest factor of 7977 is 7977.

4. How to Find the LCM of 7975 and 7977?

Answer:

Least Common Multiple of 7975 and 7977 = 63616575

Step 1: Find the prime factorization of 7975

7975 = 5 x 5 x 11 x 29

Step 2: Find the prime factorization of 7977

7977 = 3 x 2659

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

LCM = 63616575 = 3 x 5 x 5 x 11 x 29 x 2659

Step 4: Therefore, the least common multiple of 7975 and 7977 is 63616575.