Least Common Multiple of 4971 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 4971 and 4977 the smallest integer that is 8246889 that is divisible by both numbers.

Least Common Multiple (LCM) of 4971 and 4977 is 8246889.

LCM(4971,4977) = 8246889

LCM of 4971 and 4977

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

LCM of:
and

Least Common Multiple of 4971 and 4977

LCM of 4971 and 4977 is 8246889

Least common multiple can be found by multiplying the highest exponent prime factors of 4971 and 4977. First we will calculate the prime factors of 4971 and 4977.

Prime Factorization of 4971


3 4971
1657 1657
1

Prime factors of 4971 are 3,1657. Prime factorization of 4971 in exponential form is:

4971 = 31×16571

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 4971 and 4977.

LCM(4971,4977) = 32×71×791×16571
LCM(4971,4977) = 8246889

Factors of 4971

List of positive integer factors of 4971 that divides 4971 without a remainder.

1, 3, 1657, 4971

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 4971 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 4971 and 4977, than apply into the LCM equation.

GCF(4971,4977) = 3
LCM(4971,4977) = ( 4971 × 4977) / 3
LCM(4971,4977) = 24740667 / 3
LCM(4971,4977) = 8246889

Properties of LCM 4971 and 4977

(i) The LCM of 4977 and 4971 is associative

LCM of 4971 and 4977 = LCM of 4977 and 4971

Related Least Common Multiples of 4971

Related Least Common Multiples of 4977

Frequently Asked Questions on LCM of 4971 and 4977

1. What is the LCM of 4971 and 4977?

Answer: LCM of 4971 and 4977 is 8246889.

2. What are the Factors of 4971?

Answer: Factors of 4971 are 1, 3, 1657, 4971. There are 4 integers that are factors of 4971. The greatest factor of 4971 is 4971.

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 4971 and 4977?

Answer:

Least Common Multiple of 4971 and 4977 = 8246889

Step 1: Find the prime factorization of 4971

4971 = 3 x 1657

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 = 8246889 = 3 x 3 x 7 x 79 x 1657

Step 4: Therefore, the least common multiple of 4971 and 4977 is 8246889.