Least Common Multiple of 4969 and 4976

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 4976 the smallest integer that is 24725744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4969 and 4976 is 24725744.

LCM(4969,4976) = 24725744

LCM of 4969 and 4976

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

LCM of:
and

Least Common Multiple of 4969 and 4976

LCM of 4969 and 4976 is 24725744

Least common multiple can be found by multiplying the highest exponent prime factors of 4969 and 4976. First we will calculate the prime factors of 4969 and 4976.

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 4976


2 4976
2 2488
2 1244
2 622
311 311
1

Prime factors of 4976 are 2,311. Prime factorization of 4976 in exponential form is:

4976 = 24×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 4969 and 4976.

LCM(4969,4976) = 24×3111×49691
LCM(4969,4976) = 24725744

Factors of 4969

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

1, 4969

Factors of 4976

List of positive integer factors of 4976 that divides 4976 without a remainder.

1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976

Least Common Multiple of 4969 and 4976 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 4976, than apply into the LCM equation.

GCF(4969,4976) = 1
LCM(4969,4976) = ( 4969 × 4976) / 1
LCM(4969,4976) = 24725744 / 1
LCM(4969,4976) = 24725744

Properties of LCM 4969 and 4976

(i) The LCM of 4976 and 4969 is associative

LCM of 4969 and 4976 = LCM of 4976 and 4969

Related Least Common Multiples of 4969

Related Least Common Multiples of 4976

Frequently Asked Questions on LCM of 4969 and 4976

1. What is the LCM of 4969 and 4976?

Answer: LCM of 4969 and 4976 is 24725744.

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 4976?

Answer: Factors of 4976 are 1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976. There are 10 integers that are factors of 4976. The greatest factor of 4976 is 4976.

4. How to Find the LCM of 4969 and 4976?

Answer:

Least Common Multiple of 4969 and 4976 = 24725744

Step 1: Find the prime factorization of 4969

4969 = 4969

Step 2: Find the prime factorization of 4976

4976 = 2 x 2 x 2 x 2 x 311

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

LCM = 24725744 = 2 x 2 x 2 x 2 x 311 x 4969

Step 4: Therefore, the least common multiple of 4969 and 4976 is 24725744.