Least Common Multiple of 4966 and 4969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4966 and 4969 the smallest integer that is 24676054 that is divisible by both numbers.

Least Common Multiple (LCM) of 4966 and 4969 is 24676054.

LCM(4966,4969) = 24676054

LCM of 4966 and 4969

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

LCM of:
and

Least Common Multiple of 4966 and 4969

LCM of 4966 and 4969 is 24676054

Least common multiple can be found by multiplying the highest exponent prime factors of 4966 and 4969. First we will calculate the prime factors of 4966 and 4969.

Prime Factorization of 4966


2 4966
13 2483
191 191
1

Prime factors of 4966 are 2, 13,191. Prime factorization of 4966 in exponential form is:

4966 = 21×131×1911

Prime Factorization of 4969


4969 4969
1

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

4969 = 49691

Now multiplying the highest exponent prime factors to calculate the LCM of 4966 and 4969.

LCM(4966,4969) = 21×131×1911×49691
LCM(4966,4969) = 24676054

Factors of 4966

List of positive integer factors of 4966 that divides 4966 without a remainder.

1, 2, 13, 26, 191, 382, 2483, 4966

Factors of 4969

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

1, 4969

Least Common Multiple of 4966 and 4969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4966 and 4969, than apply into the LCM equation.

GCF(4966,4969) = 1
LCM(4966,4969) = ( 4966 × 4969) / 1
LCM(4966,4969) = 24676054 / 1
LCM(4966,4969) = 24676054

Properties of LCM 4966 and 4969

(i) The LCM of 4969 and 4966 is associative

LCM of 4966 and 4969 = LCM of 4969 and 4966

Related Least Common Multiples of 4966

Related Least Common Multiples of 4969

Frequently Asked Questions on LCM of 4966 and 4969

1. What is the LCM of 4966 and 4969?

Answer: LCM of 4966 and 4969 is 24676054.

2. What are the Factors of 4966?

Answer: Factors of 4966 are 1, 2, 13, 26, 191, 382, 2483, 4966. There are 8 integers that are factors of 4966. The greatest factor of 4966 is 4966.

3. 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.

4. How to Find the LCM of 4966 and 4969?

Answer:

Least Common Multiple of 4966 and 4969 = 24676054

Step 1: Find the prime factorization of 4966

4966 = 2 x 13 x 191

Step 2: Find the prime factorization of 4969

4969 = 4969

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

LCM = 24676054 = 2 x 13 x 191 x 4969

Step 4: Therefore, the least common multiple of 4966 and 4969 is 24676054.