Least Common Multiple of 7978 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 7978 and 7985 the smallest integer that is 63704330 that is divisible by both numbers.

Least Common Multiple (LCM) of 7978 and 7985 is 63704330.

LCM(7978,7985) = 63704330

LCM of 7978 and 7985

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

LCM of:
and

Least Common Multiple of 7978 and 7985

LCM of 7978 and 7985 is 63704330

Least common multiple can be found by multiplying the highest exponent prime factors of 7978 and 7985. First we will calculate the prime factors of 7978 and 7985.

Prime Factorization of 7978


2 7978
3989 3989
1

Prime factors of 7978 are 2,3989. Prime factorization of 7978 in exponential form is:

7978 = 21×39891

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 7978 and 7985.

LCM(7978,7985) = 21×51×15971×39891
LCM(7978,7985) = 63704330

Factors of 7978

List of positive integer factors of 7978 that divides 7978 without a remainder.

1, 2, 3989, 7978

Factors of 7985

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

1, 5, 1597, 7985

Least Common Multiple of 7978 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 7978 and 7985, than apply into the LCM equation.

GCF(7978,7985) = 1
LCM(7978,7985) = ( 7978 × 7985) / 1
LCM(7978,7985) = 63704330 / 1
LCM(7978,7985) = 63704330

Properties of LCM 7978 and 7985

(i) The LCM of 7985 and 7978 is associative

LCM of 7978 and 7985 = LCM of 7985 and 7978

Related Least Common Multiples of 7978

Related Least Common Multiples of 7985

Frequently Asked Questions on LCM of 7978 and 7985

1. What is the LCM of 7978 and 7985?

Answer: LCM of 7978 and 7985 is 63704330.

2. What are the Factors of 7978?

Answer: Factors of 7978 are 1, 2, 3989, 7978. There are 4 integers that are factors of 7978. The greatest factor of 7978 is 7978.

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 7978 and 7985?

Answer:

Least Common Multiple of 7978 and 7985 = 63704330

Step 1: Find the prime factorization of 7978

7978 = 2 x 3989

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 = 63704330 = 2 x 5 x 1597 x 3989

Step 4: Therefore, the least common multiple of 7978 and 7985 is 63704330.