Least Common Multiple of 7960 and 7966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7960 and 7966 the smallest integer that is 31704680 that is divisible by both numbers.

Least Common Multiple (LCM) of 7960 and 7966 is 31704680.

LCM(7960,7966) = 31704680

LCM of 7960 and 7966

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

LCM of:
and

Least Common Multiple of 7960 and 7966

LCM of 7960 and 7966 is 31704680

Least common multiple can be found by multiplying the highest exponent prime factors of 7960 and 7966. First we will calculate the prime factors of 7960 and 7966.

Prime Factorization of 7960


2 7960
2 3980
2 1990
5 995
199 199
1

Prime factors of 7960 are 2, 5,199. Prime factorization of 7960 in exponential form is:

7960 = 23×51×1991

Prime Factorization of 7966


2 7966
7 3983
569 569
1

Prime factors of 7966 are 2, 7,569. Prime factorization of 7966 in exponential form is:

7966 = 21×71×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 7960 and 7966.

LCM(7960,7966) = 23×51×71×1991×5691
LCM(7960,7966) = 31704680

Factors of 7960

List of positive integer factors of 7960 that divides 7960 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960

Factors of 7966

List of positive integer factors of 7966 that divides 7966 without a remainder.

1, 2, 7, 14, 569, 1138, 3983, 7966

Least Common Multiple of 7960 and 7966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7960 and 7966, than apply into the LCM equation.

GCF(7960,7966) = 2
LCM(7960,7966) = ( 7960 × 7966) / 2
LCM(7960,7966) = 63409360 / 2
LCM(7960,7966) = 31704680

Properties of LCM 7960 and 7966

(i) The LCM of 7966 and 7960 is associative

LCM of 7960 and 7966 = LCM of 7966 and 7960

Related Least Common Multiples of 7960

Related Least Common Multiples of 7966

Frequently Asked Questions on LCM of 7960 and 7966

1. What is the LCM of 7960 and 7966?

Answer: LCM of 7960 and 7966 is 31704680.

2. What are the Factors of 7960?

Answer: Factors of 7960 are 1, 2, 4, 5, 8, 10, 20, 40, 199, 398, 796, 995, 1592, 1990, 3980, 7960. There are 16 integers that are factors of 7960. The greatest factor of 7960 is 7960.

3. What are the Factors of 7966?

Answer: Factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966. There are 8 integers that are factors of 7966. The greatest factor of 7966 is 7966.

4. How to Find the LCM of 7960 and 7966?

Answer:

Least Common Multiple of 7960 and 7966 = 31704680

Step 1: Find the prime factorization of 7960

7960 = 2 x 2 x 2 x 5 x 199

Step 2: Find the prime factorization of 7966

7966 = 2 x 7 x 569

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

LCM = 31704680 = 2 x 2 x 2 x 5 x 7 x 199 x 569

Step 4: Therefore, the least common multiple of 7960 and 7966 is 31704680.