Least Common Multiple of 4967 and 4973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4967 and 4973 the smallest integer that is 24700891 that is divisible by both numbers.

Least Common Multiple (LCM) of 4967 and 4973 is 24700891.

LCM(4967,4973) = 24700891

LCM of 4967 and 4973

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

LCM of:
and

Least Common Multiple of 4967 and 4973

LCM of 4967 and 4973 is 24700891

Least common multiple can be found by multiplying the highest exponent prime factors of 4967 and 4973. First we will calculate the prime factors of 4967 and 4973.

Prime Factorization of 4967


4967 4967
1

Prime factors of 4967 are 4967. Prime factorization of 4967 in exponential form is:

4967 = 49671

Prime Factorization of 4973


4973 4973
1

Prime factors of 4973 are 4973. Prime factorization of 4973 in exponential form is:

4973 = 49731

Now multiplying the highest exponent prime factors to calculate the LCM of 4967 and 4973.

LCM(4967,4973) = 49671×49731
LCM(4967,4973) = 24700891

Factors of 4967

List of positive integer factors of 4967 that divides 4967 without a remainder.

1, 4967

Factors of 4973

List of positive integer factors of 4973 that divides 4973 without a remainder.

1, 4973

Least Common Multiple of 4967 and 4973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4967 and 4973, than apply into the LCM equation.

GCF(4967,4973) = 1
LCM(4967,4973) = ( 4967 × 4973) / 1
LCM(4967,4973) = 24700891 / 1
LCM(4967,4973) = 24700891

Properties of LCM 4967 and 4973

(i) The LCM of 4973 and 4967 is associative

LCM of 4967 and 4973 = LCM of 4973 and 4967

Related Least Common Multiples of 4967

Related Least Common Multiples of 4973

Frequently Asked Questions on LCM of 4967 and 4973

1. What is the LCM of 4967 and 4973?

Answer: LCM of 4967 and 4973 is 24700891.

2. What are the Factors of 4967?

Answer: Factors of 4967 are 1, 4967. There are 2 integers that are factors of 4967. The greatest factor of 4967 is 4967.

3. What are the Factors of 4973?

Answer: Factors of 4973 are 1, 4973. There are 2 integers that are factors of 4973. The greatest factor of 4973 is 4973.

4. How to Find the LCM of 4967 and 4973?

Answer:

Least Common Multiple of 4967 and 4973 = 24700891

Step 1: Find the prime factorization of 4967

4967 = 4967

Step 2: Find the prime factorization of 4973

4973 = 4973

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

LCM = 24700891 = 4967 x 4973

Step 4: Therefore, the least common multiple of 4967 and 4973 is 24700891.