Least Common Multiple of 4973 and 4977

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 4977 the smallest integer that is 24750621 that is divisible by both numbers.

Least Common Multiple (LCM) of 4973 and 4977 is 24750621.

LCM(4973,4977) = 24750621

LCM of 4973 and 4977

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

LCM of:
and

Least Common Multiple of 4973 and 4977

LCM of 4973 and 4977 is 24750621

Least common multiple can be found by multiplying the highest exponent prime factors of 4973 and 4977. First we will calculate the prime factors of 4973 and 4977.

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 4977


3 4977
3 1659
7 553
79 79
1

Prime factors of 4977 are 3, 7,79. Prime factorization of 4977 in exponential form is:

4977 = 32×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4973 and 4977.

LCM(4973,4977) = 32×71×791×49731
LCM(4973,4977) = 24750621

Factors of 4973

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

1, 4973

Factors of 4977

List of positive integer factors of 4977 that divides 4977 without a remainder.

1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977

Least Common Multiple of 4973 and 4977 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 4977, than apply into the LCM equation.

GCF(4973,4977) = 1
LCM(4973,4977) = ( 4973 × 4977) / 1
LCM(4973,4977) = 24750621 / 1
LCM(4973,4977) = 24750621

Properties of LCM 4973 and 4977

(i) The LCM of 4977 and 4973 is associative

LCM of 4973 and 4977 = LCM of 4977 and 4973

Related Least Common Multiples of 4973

Related Least Common Multiples of 4977

Frequently Asked Questions on LCM of 4973 and 4977

1. What is the LCM of 4973 and 4977?

Answer: LCM of 4973 and 4977 is 24750621.

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 4977?

Answer: Factors of 4977 are 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977. There are 12 integers that are factors of 4977. The greatest factor of 4977 is 4977.

4. How to Find the LCM of 4973 and 4977?

Answer:

Least Common Multiple of 4973 and 4977 = 24750621

Step 1: Find the prime factorization of 4973

4973 = 4973

Step 2: Find the prime factorization of 4977

4977 = 3 x 3 x 7 x 79

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

LCM = 24750621 = 3 x 3 x 7 x 79 x 4973

Step 4: Therefore, the least common multiple of 4973 and 4977 is 24750621.