Least Common Multiple of 7963 and 7967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7963 and 7967 the smallest integer that is 63441221 that is divisible by both numbers.

Least Common Multiple (LCM) of 7963 and 7967 is 63441221.

LCM(7963,7967) = 63441221

LCM of 7963 and 7967

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

LCM of:
and

Least Common Multiple of 7963 and 7967

LCM of 7963 and 7967 is 63441221

Least common multiple can be found by multiplying the highest exponent prime factors of 7963 and 7967. First we will calculate the prime factors of 7963 and 7967.

Prime Factorization of 7963


7963 7963
1

Prime factors of 7963 are 7963. Prime factorization of 7963 in exponential form is:

7963 = 79631

Prime Factorization of 7967


31 7967
257 257
1

Prime factors of 7967 are 31,257. Prime factorization of 7967 in exponential form is:

7967 = 311×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 7963 and 7967.

LCM(7963,7967) = 311×2571×79631
LCM(7963,7967) = 63441221

Factors of 7963

List of positive integer factors of 7963 that divides 7963 without a remainder.

1, 7963

Factors of 7967

List of positive integer factors of 7967 that divides 7967 without a remainder.

1, 31, 257, 7967

Least Common Multiple of 7963 and 7967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7963 and 7967, than apply into the LCM equation.

GCF(7963,7967) = 1
LCM(7963,7967) = ( 7963 × 7967) / 1
LCM(7963,7967) = 63441221 / 1
LCM(7963,7967) = 63441221

Properties of LCM 7963 and 7967

(i) The LCM of 7967 and 7963 is associative

LCM of 7963 and 7967 = LCM of 7967 and 7963

Related Least Common Multiples of 7963

Related Least Common Multiples of 7967

Frequently Asked Questions on LCM of 7963 and 7967

1. What is the LCM of 7963 and 7967?

Answer: LCM of 7963 and 7967 is 63441221.

2. What are the Factors of 7963?

Answer: Factors of 7963 are 1, 7963. There are 2 integers that are factors of 7963. The greatest factor of 7963 is 7963.

3. What are the Factors of 7967?

Answer: Factors of 7967 are 1, 31, 257, 7967. There are 4 integers that are factors of 7967. The greatest factor of 7967 is 7967.

4. How to Find the LCM of 7963 and 7967?

Answer:

Least Common Multiple of 7963 and 7967 = 63441221

Step 1: Find the prime factorization of 7963

7963 = 7963

Step 2: Find the prime factorization of 7967

7967 = 31 x 257

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

LCM = 63441221 = 31 x 257 x 7963

Step 4: Therefore, the least common multiple of 7963 and 7967 is 63441221.