Least Common Multiple of 4967 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 4967 and 4969 the smallest integer that is 24681023 that is divisible by both numbers.

Least Common Multiple (LCM) of 4967 and 4969 is 24681023.

LCM(4967,4969) = 24681023

LCM of 4967 and 4969

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

LCM of:
and

Least Common Multiple of 4967 and 4969

LCM of 4967 and 4969 is 24681023

Least common multiple can be found by multiplying the highest exponent prime factors of 4967 and 4969. First we will calculate the prime factors of 4967 and 4969.

Prime Factorization of 4967


4967 4967
1

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

4967 = 49671

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 4967 and 4969.

LCM(4967,4969) = 49671×49691
LCM(4967,4969) = 24681023

Factors of 4967

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

1, 4967

Factors of 4969

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

1, 4969

Least Common Multiple of 4967 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 4967 and 4969, than apply into the LCM equation.

GCF(4967,4969) = 1
LCM(4967,4969) = ( 4967 × 4969) / 1
LCM(4967,4969) = 24681023 / 1
LCM(4967,4969) = 24681023

Properties of LCM 4967 and 4969

(i) The LCM of 4969 and 4967 is associative

LCM of 4967 and 4969 = LCM of 4969 and 4967

Related Least Common Multiples of 4967

Related Least Common Multiples of 4969

Frequently Asked Questions on LCM of 4967 and 4969

1. What is the LCM of 4967 and 4969?

Answer: LCM of 4967 and 4969 is 24681023.

2. 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.

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 4967 and 4969?

Answer:

Least Common Multiple of 4967 and 4969 = 24681023

Step 1: Find the prime factorization of 4967

4967 = 4967

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 = 24681023 = 4967 x 4969

Step 4: Therefore, the least common multiple of 4967 and 4969 is 24681023.