Least Common Multiple of 4969 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 4969 and 4977 the smallest integer that is 24730713 that is divisible by both numbers.

Least Common Multiple (LCM) of 4969 and 4977 is 24730713.

LCM(4969,4977) = 24730713

LCM of 4969 and 4977

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

LCM of:
and

Least Common Multiple of 4969 and 4977

LCM of 4969 and 4977 is 24730713

Least common multiple can be found by multiplying the highest exponent prime factors of 4969 and 4977. First we will calculate the prime factors of 4969 and 4977.

Prime Factorization of 4969


4969 4969
1

Prime factors of 4969 are 4969. Prime factorization of 4969 in exponential form is:

4969 = 49691

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 4969 and 4977.

LCM(4969,4977) = 32×71×791×49691
LCM(4969,4977) = 24730713

Factors of 4969

List of positive integer factors of 4969 that divides 4969 without a remainder.

1, 4969

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 4969 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 4969 and 4977, than apply into the LCM equation.

GCF(4969,4977) = 1
LCM(4969,4977) = ( 4969 × 4977) / 1
LCM(4969,4977) = 24730713 / 1
LCM(4969,4977) = 24730713

Properties of LCM 4969 and 4977

(i) The LCM of 4977 and 4969 is associative

LCM of 4969 and 4977 = LCM of 4977 and 4969

Related Least Common Multiples of 4969

Related Least Common Multiples of 4977

Frequently Asked Questions on LCM of 4969 and 4977

1. What is the LCM of 4969 and 4977?

Answer: LCM of 4969 and 4977 is 24730713.

2. What are the Factors of 4969?

Answer: Factors of 4969 are 1, 4969. There are 2 integers that are factors of 4969. The greatest factor of 4969 is 4969.

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 4969 and 4977?

Answer:

Least Common Multiple of 4969 and 4977 = 24730713

Step 1: Find the prime factorization of 4969

4969 = 4969

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 = 24730713 = 3 x 3 x 7 x 79 x 4969

Step 4: Therefore, the least common multiple of 4969 and 4977 is 24730713.