Least Common Multiple of 7953 and 7960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7953 and 7960 the smallest integer that is 63305880 that is divisible by both numbers.

Least Common Multiple (LCM) of 7953 and 7960 is 63305880.

LCM(7953,7960) = 63305880

LCM of 7953 and 7960

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

LCM of:
and

Least Common Multiple of 7953 and 7960

LCM of 7953 and 7960 is 63305880

Least common multiple can be found by multiplying the highest exponent prime factors of 7953 and 7960. First we will calculate the prime factors of 7953 and 7960.

Prime Factorization of 7953


3 7953
11 2651
241 241
1

Prime factors of 7953 are 3, 11,241. Prime factorization of 7953 in exponential form is:

7953 = 31×111×2411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7953 and 7960.

LCM(7953,7960) = 23×31×51×111×1991×2411
LCM(7953,7960) = 63305880

Factors of 7953

List of positive integer factors of 7953 that divides 7953 without a remainder.

1, 3, 11, 33, 241, 723, 2651, 7953

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

Least Common Multiple of 7953 and 7960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7953 and 7960, than apply into the LCM equation.

GCF(7953,7960) = 1
LCM(7953,7960) = ( 7953 × 7960) / 1
LCM(7953,7960) = 63305880 / 1
LCM(7953,7960) = 63305880

Properties of LCM 7953 and 7960

(i) The LCM of 7960 and 7953 is associative

LCM of 7953 and 7960 = LCM of 7960 and 7953

Related Least Common Multiples of 7953

Related Least Common Multiples of 7960

Frequently Asked Questions on LCM of 7953 and 7960

1. What is the LCM of 7953 and 7960?

Answer: LCM of 7953 and 7960 is 63305880.

2. What are the Factors of 7953?

Answer: Factors of 7953 are 1, 3, 11, 33, 241, 723, 2651, 7953. There are 8 integers that are factors of 7953. The greatest factor of 7953 is 7953.

3. 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.

4. How to Find the LCM of 7953 and 7960?

Answer:

Least Common Multiple of 7953 and 7960 = 63305880

Step 1: Find the prime factorization of 7953

7953 = 3 x 11 x 241

Step 2: Find the prime factorization of 7960

7960 = 2 x 2 x 2 x 5 x 199

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

LCM = 63305880 = 2 x 2 x 2 x 3 x 5 x 11 x 199 x 241

Step 4: Therefore, the least common multiple of 7953 and 7960 is 63305880.