Least Common Multiple of 7977 and 7985

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 7985 the smallest integer that is 63696345 that is divisible by both numbers.

Least Common Multiple (LCM) of 7977 and 7985 is 63696345.

LCM(7977,7985) = 63696345

LCM of 7977 and 7985

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

LCM of:
and

Least Common Multiple of 7977 and 7985

LCM of 7977 and 7985 is 63696345

Least common multiple can be found by multiplying the highest exponent prime factors of 7977 and 7985. First we will calculate the prime factors of 7977 and 7985.

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 7985


5 7985
1597 1597
1

Prime factors of 7985 are 5,1597. Prime factorization of 7985 in exponential form is:

7985 = 51×15971

Now multiplying the highest exponent prime factors to calculate the LCM of 7977 and 7985.

LCM(7977,7985) = 31×51×15971×26591
LCM(7977,7985) = 63696345

Factors of 7977

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

1, 3, 2659, 7977

Factors of 7985

List of positive integer factors of 7985 that divides 7985 without a remainder.

1, 5, 1597, 7985

Least Common Multiple of 7977 and 7985 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 7985, than apply into the LCM equation.

GCF(7977,7985) = 1
LCM(7977,7985) = ( 7977 × 7985) / 1
LCM(7977,7985) = 63696345 / 1
LCM(7977,7985) = 63696345

Properties of LCM 7977 and 7985

(i) The LCM of 7985 and 7977 is associative

LCM of 7977 and 7985 = LCM of 7985 and 7977

Related Least Common Multiples of 7977

Related Least Common Multiples of 7985

Frequently Asked Questions on LCM of 7977 and 7985

1. What is the LCM of 7977 and 7985?

Answer: LCM of 7977 and 7985 is 63696345.

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 7985?

Answer: Factors of 7985 are 1, 5, 1597, 7985. There are 4 integers that are factors of 7985. The greatest factor of 7985 is 7985.

4. How to Find the LCM of 7977 and 7985?

Answer:

Least Common Multiple of 7977 and 7985 = 63696345

Step 1: Find the prime factorization of 7977

7977 = 3 x 2659

Step 2: Find the prime factorization of 7985

7985 = 5 x 1597

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

LCM = 63696345 = 3 x 5 x 1597 x 2659

Step 4: Therefore, the least common multiple of 7977 and 7985 is 63696345.