Least Common Multiple of 4973 and 4979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4973 and 4979 the smallest integer that is 24760567 that is divisible by both numbers.

Least Common Multiple (LCM) of 4973 and 4979 is 24760567.

LCM(4973,4979) = 24760567

LCM of 4973 and 4979

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

LCM of:
and

Least Common Multiple of 4973 and 4979

LCM of 4973 and 4979 is 24760567

Least common multiple can be found by multiplying the highest exponent prime factors of 4973 and 4979. First we will calculate the prime factors of 4973 and 4979.

Prime Factorization of 4973


4973 4973
1

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

4973 = 49731

Prime Factorization of 4979


13 4979
383 383
1

Prime factors of 4979 are 13,383. Prime factorization of 4979 in exponential form is:

4979 = 131×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 4973 and 4979.

LCM(4973,4979) = 131×3831×49731
LCM(4973,4979) = 24760567

Factors of 4973

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

1, 4973

Factors of 4979

List of positive integer factors of 4979 that divides 4979 without a remainder.

1, 13, 383, 4979

Least Common Multiple of 4973 and 4979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4973 and 4979, than apply into the LCM equation.

GCF(4973,4979) = 1
LCM(4973,4979) = ( 4973 × 4979) / 1
LCM(4973,4979) = 24760567 / 1
LCM(4973,4979) = 24760567

Properties of LCM 4973 and 4979

(i) The LCM of 4979 and 4973 is associative

LCM of 4973 and 4979 = LCM of 4979 and 4973

Related Least Common Multiples of 4973

Related Least Common Multiples of 4979

Frequently Asked Questions on LCM of 4973 and 4979

1. What is the LCM of 4973 and 4979?

Answer: LCM of 4973 and 4979 is 24760567.

2. 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.

3. What are the Factors of 4979?

Answer: Factors of 4979 are 1, 13, 383, 4979. There are 4 integers that are factors of 4979. The greatest factor of 4979 is 4979.

4. How to Find the LCM of 4973 and 4979?

Answer:

Least Common Multiple of 4973 and 4979 = 24760567

Step 1: Find the prime factorization of 4973

4973 = 4973

Step 2: Find the prime factorization of 4979

4979 = 13 x 383

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

LCM = 24760567 = 13 x 383 x 4973

Step 4: Therefore, the least common multiple of 4973 and 4979 is 24760567.