Least Common Multiple of 4966 and 4967

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 4967 the smallest integer that is 24666122 that is divisible by both numbers.

Least Common Multiple (LCM) of 4966 and 4967 is 24666122.

LCM(4966,4967) = 24666122

LCM of 4966 and 4967

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

LCM of:
and

Least Common Multiple of 4966 and 4967

LCM of 4966 and 4967 is 24666122

Least common multiple can be found by multiplying the highest exponent prime factors of 4966 and 4967. First we will calculate the prime factors of 4966 and 4967.

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 4967


4967 4967
1

Prime factors of 4967 are 4967. Prime factorization of 4967 in exponential form is:

4967 = 49671

Now multiplying the highest exponent prime factors to calculate the LCM of 4966 and 4967.

LCM(4966,4967) = 21×131×1911×49671
LCM(4966,4967) = 24666122

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 4967

List of positive integer factors of 4967 that divides 4967 without a remainder.

1, 4967

Least Common Multiple of 4966 and 4967 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 4967, than apply into the LCM equation.

GCF(4966,4967) = 1
LCM(4966,4967) = ( 4966 × 4967) / 1
LCM(4966,4967) = 24666122 / 1
LCM(4966,4967) = 24666122

Properties of LCM 4966 and 4967

(i) The LCM of 4967 and 4966 is associative

LCM of 4966 and 4967 = LCM of 4967 and 4966

Related Least Common Multiples of 4966

Related Least Common Multiples of 4967

Frequently Asked Questions on LCM of 4966 and 4967

1. What is the LCM of 4966 and 4967?

Answer: LCM of 4966 and 4967 is 24666122.

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 4967?

Answer: Factors of 4967 are 1, 4967. There are 2 integers that are factors of 4967. The greatest factor of 4967 is 4967.

4. How to Find the LCM of 4966 and 4967?

Answer:

Least Common Multiple of 4966 and 4967 = 24666122

Step 1: Find the prime factorization of 4966

4966 = 2 x 13 x 191

Step 2: Find the prime factorization of 4967

4967 = 4967

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

LCM = 24666122 = 2 x 13 x 191 x 4967

Step 4: Therefore, the least common multiple of 4966 and 4967 is 24666122.