Least Common Multiple of 7960 and 7961

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 7961 the smallest integer that is 63369560 that is divisible by both numbers.

Least Common Multiple (LCM) of 7960 and 7961 is 63369560.

LCM(7960,7961) = 63369560

LCM of 7960 and 7961

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

LCM of:
and

Least Common Multiple of 7960 and 7961

LCM of 7960 and 7961 is 63369560

Least common multiple can be found by multiplying the highest exponent prime factors of 7960 and 7961. First we will calculate the prime factors of 7960 and 7961.

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 7961


19 7961
419 419
1

Prime factors of 7961 are 19,419. Prime factorization of 7961 in exponential form is:

7961 = 191×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 7960 and 7961.

LCM(7960,7961) = 23×51×191×1991×4191
LCM(7960,7961) = 63369560

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 7961

List of positive integer factors of 7961 that divides 7961 without a remainder.

1, 19, 419, 7961

Least Common Multiple of 7960 and 7961 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 7961, than apply into the LCM equation.

GCF(7960,7961) = 1
LCM(7960,7961) = ( 7960 × 7961) / 1
LCM(7960,7961) = 63369560 / 1
LCM(7960,7961) = 63369560

Properties of LCM 7960 and 7961

(i) The LCM of 7961 and 7960 is associative

LCM of 7960 and 7961 = LCM of 7961 and 7960

Related Least Common Multiples of 7960

Related Least Common Multiples of 7961

Frequently Asked Questions on LCM of 7960 and 7961

1. What is the LCM of 7960 and 7961?

Answer: LCM of 7960 and 7961 is 63369560.

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 7961?

Answer: Factors of 7961 are 1, 19, 419, 7961. There are 4 integers that are factors of 7961. The greatest factor of 7961 is 7961.

4. How to Find the LCM of 7960 and 7961?

Answer:

Least Common Multiple of 7960 and 7961 = 63369560

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 7961

7961 = 19 x 419

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

LCM = 63369560 = 2 x 2 x 2 x 5 x 19 x 199 x 419

Step 4: Therefore, the least common multiple of 7960 and 7961 is 63369560.