Least Common Multiple of 4977 and 4983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4977 and 4983 the smallest integer that is 8266797 that is divisible by both numbers.

Least Common Multiple (LCM) of 4977 and 4983 is 8266797.

LCM(4977,4983) = 8266797

LCM of 4977 and 4983

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

LCM of:
and

Least Common Multiple of 4977 and 4983

LCM of 4977 and 4983 is 8266797

Least common multiple can be found by multiplying the highest exponent prime factors of 4977 and 4983. First we will calculate the prime factors of 4977 and 4983.

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

Prime Factorization of 4983


3 4983
11 1661
151 151
1

Prime factors of 4983 are 3, 11,151. Prime factorization of 4983 in exponential form is:

4983 = 31×111×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4977 and 4983.

LCM(4977,4983) = 32×71×111×791×1511
LCM(4977,4983) = 8266797

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

Factors of 4983

List of positive integer factors of 4983 that divides 4983 without a remainder.

1, 3, 11, 33, 151, 453, 1661, 4983

Least Common Multiple of 4977 and 4983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4977 and 4983, than apply into the LCM equation.

GCF(4977,4983) = 3
LCM(4977,4983) = ( 4977 × 4983) / 3
LCM(4977,4983) = 24800391 / 3
LCM(4977,4983) = 8266797

Properties of LCM 4977 and 4983

(i) The LCM of 4983 and 4977 is associative

LCM of 4977 and 4983 = LCM of 4983 and 4977

Related Least Common Multiples of 4977

Related Least Common Multiples of 4983

Frequently Asked Questions on LCM of 4977 and 4983

1. What is the LCM of 4977 and 4983?

Answer: LCM of 4977 and 4983 is 8266797.

2. 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.

3. What are the Factors of 4983?

Answer: Factors of 4983 are 1, 3, 11, 33, 151, 453, 1661, 4983. There are 8 integers that are factors of 4983. The greatest factor of 4983 is 4983.

4. How to Find the LCM of 4977 and 4983?

Answer:

Least Common Multiple of 4977 and 4983 = 8266797

Step 1: Find the prime factorization of 4977

4977 = 3 x 3 x 7 x 79

Step 2: Find the prime factorization of 4983

4983 = 3 x 11 x 151

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

LCM = 8266797 = 3 x 3 x 7 x 11 x 79 x 151

Step 4: Therefore, the least common multiple of 4977 and 4983 is 8266797.