Least Common Multiple of 7960 and 7962

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 7962 the smallest integer that is 31688760 that is divisible by both numbers.

Least Common Multiple (LCM) of 7960 and 7962 is 31688760.

LCM(7960,7962) = 31688760

LCM of 7960 and 7962

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

LCM of:
and

Least Common Multiple of 7960 and 7962

LCM of 7960 and 7962 is 31688760

Least common multiple can be found by multiplying the highest exponent prime factors of 7960 and 7962. First we will calculate the prime factors of 7960 and 7962.

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 7962


2 7962
3 3981
1327 1327
1

Prime factors of 7962 are 2, 3,1327. Prime factorization of 7962 in exponential form is:

7962 = 21×31×13271

Now multiplying the highest exponent prime factors to calculate the LCM of 7960 and 7962.

LCM(7960,7962) = 23×31×51×1991×13271
LCM(7960,7962) = 31688760

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 7962

List of positive integer factors of 7962 that divides 7962 without a remainder.

1, 2, 3, 6, 1327, 2654, 3981, 7962

Least Common Multiple of 7960 and 7962 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 7962, than apply into the LCM equation.

GCF(7960,7962) = 2
LCM(7960,7962) = ( 7960 × 7962) / 2
LCM(7960,7962) = 63377520 / 2
LCM(7960,7962) = 31688760

Properties of LCM 7960 and 7962

(i) The LCM of 7962 and 7960 is associative

LCM of 7960 and 7962 = LCM of 7962 and 7960

Related Least Common Multiples of 7960

Related Least Common Multiples of 7962

Frequently Asked Questions on LCM of 7960 and 7962

1. What is the LCM of 7960 and 7962?

Answer: LCM of 7960 and 7962 is 31688760.

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 7962?

Answer: Factors of 7962 are 1, 2, 3, 6, 1327, 2654, 3981, 7962. There are 8 integers that are factors of 7962. The greatest factor of 7962 is 7962.

4. How to Find the LCM of 7960 and 7962?

Answer:

Least Common Multiple of 7960 and 7962 = 31688760

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 7962

7962 = 2 x 3 x 1327

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

LCM = 31688760 = 2 x 2 x 2 x 3 x 5 x 199 x 1327

Step 4: Therefore, the least common multiple of 7960 and 7962 is 31688760.