Least Common Multiple of 7975 and 7978

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 7978 the smallest integer that is 63624550 that is divisible by both numbers.

Least Common Multiple (LCM) of 7975 and 7978 is 63624550.

LCM(7975,7978) = 63624550

LCM of 7975 and 7978

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

LCM of:
and

Least Common Multiple of 7975 and 7978

LCM of 7975 and 7978 is 63624550

Least common multiple can be found by multiplying the highest exponent prime factors of 7975 and 7978. First we will calculate the prime factors of 7975 and 7978.

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 7978


2 7978
3989 3989
1

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

7978 = 21×39891

Now multiplying the highest exponent prime factors to calculate the LCM of 7975 and 7978.

LCM(7975,7978) = 21×52×111×291×39891
LCM(7975,7978) = 63624550

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 7978

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

1, 2, 3989, 7978

Least Common Multiple of 7975 and 7978 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 7978, than apply into the LCM equation.

GCF(7975,7978) = 1
LCM(7975,7978) = ( 7975 × 7978) / 1
LCM(7975,7978) = 63624550 / 1
LCM(7975,7978) = 63624550

Properties of LCM 7975 and 7978

(i) The LCM of 7978 and 7975 is associative

LCM of 7975 and 7978 = LCM of 7978 and 7975

Related Least Common Multiples of 7975

Related Least Common Multiples of 7978

Frequently Asked Questions on LCM of 7975 and 7978

1. What is the LCM of 7975 and 7978?

Answer: LCM of 7975 and 7978 is 63624550.

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 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.

4. How to Find the LCM of 7975 and 7978?

Answer:

Least Common Multiple of 7975 and 7978 = 63624550

Step 1: Find the prime factorization of 7975

7975 = 5 x 5 x 11 x 29

Step 2: Find the prime factorization of 7978

7978 = 2 x 3989

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

LCM = 63624550 = 2 x 5 x 5 x 11 x 29 x 3989

Step 4: Therefore, the least common multiple of 7975 and 7978 is 63624550.