Least Common Multiple of 7985 and 7993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7985 and 7993 the smallest integer that is 63824105 that is divisible by both numbers.

Least Common Multiple (LCM) of 7985 and 7993 is 63824105.

LCM(7985,7993) = 63824105

LCM of 7985 and 7993

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

LCM of:
and

Least Common Multiple of 7985 and 7993

LCM of 7985 and 7993 is 63824105

Least common multiple can be found by multiplying the highest exponent prime factors of 7985 and 7993. First we will calculate the prime factors of 7985 and 7993.

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

Prime Factorization of 7993


7993 7993
1

Prime factors of 7993 are 7993. Prime factorization of 7993 in exponential form is:

7993 = 79931

Now multiplying the highest exponent prime factors to calculate the LCM of 7985 and 7993.

LCM(7985,7993) = 51×15971×79931
LCM(7985,7993) = 63824105

Factors of 7985

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

1, 5, 1597, 7985

Factors of 7993

List of positive integer factors of 7993 that divides 7993 without a remainder.

1, 7993

Least Common Multiple of 7985 and 7993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7985 and 7993, than apply into the LCM equation.

GCF(7985,7993) = 1
LCM(7985,7993) = ( 7985 × 7993) / 1
LCM(7985,7993) = 63824105 / 1
LCM(7985,7993) = 63824105

Properties of LCM 7985 and 7993

(i) The LCM of 7993 and 7985 is associative

LCM of 7985 and 7993 = LCM of 7993 and 7985

Related Least Common Multiples of 7985

Related Least Common Multiples of 7993

Frequently Asked Questions on LCM of 7985 and 7993

1. What is the LCM of 7985 and 7993?

Answer: LCM of 7985 and 7993 is 63824105.

2. 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.

3. What are the Factors of 7993?

Answer: Factors of 7993 are 1, 7993. There are 2 integers that are factors of 7993. The greatest factor of 7993 is 7993.

4. How to Find the LCM of 7985 and 7993?

Answer:

Least Common Multiple of 7985 and 7993 = 63824105

Step 1: Find the prime factorization of 7985

7985 = 5 x 1597

Step 2: Find the prime factorization of 7993

7993 = 7993

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

LCM = 63824105 = 5 x 1597 x 7993

Step 4: Therefore, the least common multiple of 7985 and 7993 is 63824105.