Least Common Multiple of 7977 and 7981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7977 and 7981 the smallest integer that is 63664437 that is divisible by both numbers.

Least Common Multiple (LCM) of 7977 and 7981 is 63664437.

LCM(7977,7981) = 63664437

LCM of 7977 and 7981

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

LCM of:
and

Least Common Multiple of 7977 and 7981

LCM of 7977 and 7981 is 63664437

Least common multiple can be found by multiplying the highest exponent prime factors of 7977 and 7981. First we will calculate the prime factors of 7977 and 7981.

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

Prime Factorization of 7981


23 7981
347 347
1

Prime factors of 7981 are 23,347. Prime factorization of 7981 in exponential form is:

7981 = 231×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 7977 and 7981.

LCM(7977,7981) = 31×231×3471×26591
LCM(7977,7981) = 63664437

Factors of 7977

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

1, 3, 2659, 7977

Factors of 7981

List of positive integer factors of 7981 that divides 7981 without a remainder.

1, 23, 347, 7981

Least Common Multiple of 7977 and 7981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7977 and 7981, than apply into the LCM equation.

GCF(7977,7981) = 1
LCM(7977,7981) = ( 7977 × 7981) / 1
LCM(7977,7981) = 63664437 / 1
LCM(7977,7981) = 63664437

Properties of LCM 7977 and 7981

(i) The LCM of 7981 and 7977 is associative

LCM of 7977 and 7981 = LCM of 7981 and 7977

Related Least Common Multiples of 7977

Related Least Common Multiples of 7981

Frequently Asked Questions on LCM of 7977 and 7981

1. What is the LCM of 7977 and 7981?

Answer: LCM of 7977 and 7981 is 63664437.

2. 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.

3. What are the Factors of 7981?

Answer: Factors of 7981 are 1, 23, 347, 7981. There are 4 integers that are factors of 7981. The greatest factor of 7981 is 7981.

4. How to Find the LCM of 7977 and 7981?

Answer:

Least Common Multiple of 7977 and 7981 = 63664437

Step 1: Find the prime factorization of 7977

7977 = 3 x 2659

Step 2: Find the prime factorization of 7981

7981 = 23 x 347

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

LCM = 63664437 = 3 x 23 x 347 x 2659

Step 4: Therefore, the least common multiple of 7977 and 7981 is 63664437.