Least Common Multiple of 4969 and 4971

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 4971 the smallest integer that is 24700899 that is divisible by both numbers.

Least Common Multiple (LCM) of 4969 and 4971 is 24700899.

LCM(4969,4971) = 24700899

LCM of 4969 and 4971

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

LCM of:
and

Least Common Multiple of 4969 and 4971

LCM of 4969 and 4971 is 24700899

Least common multiple can be found by multiplying the highest exponent prime factors of 4969 and 4971. First we will calculate the prime factors of 4969 and 4971.

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 4971


3 4971
1657 1657
1

Prime factors of 4971 are 3,1657. Prime factorization of 4971 in exponential form is:

4971 = 31×16571

Now multiplying the highest exponent prime factors to calculate the LCM of 4969 and 4971.

LCM(4969,4971) = 31×16571×49691
LCM(4969,4971) = 24700899

Factors of 4969

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

1, 4969

Factors of 4971

List of positive integer factors of 4971 that divides 4971 without a remainder.

1, 3, 1657, 4971

Least Common Multiple of 4969 and 4971 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 4971, than apply into the LCM equation.

GCF(4969,4971) = 1
LCM(4969,4971) = ( 4969 × 4971) / 1
LCM(4969,4971) = 24700899 / 1
LCM(4969,4971) = 24700899

Properties of LCM 4969 and 4971

(i) The LCM of 4971 and 4969 is associative

LCM of 4969 and 4971 = LCM of 4971 and 4969

Related Least Common Multiples of 4969

Related Least Common Multiples of 4971

Frequently Asked Questions on LCM of 4969 and 4971

1. What is the LCM of 4969 and 4971?

Answer: LCM of 4969 and 4971 is 24700899.

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 4971?

Answer: Factors of 4971 are 1, 3, 1657, 4971. There are 4 integers that are factors of 4971. The greatest factor of 4971 is 4971.

4. How to Find the LCM of 4969 and 4971?

Answer:

Least Common Multiple of 4969 and 4971 = 24700899

Step 1: Find the prime factorization of 4969

4969 = 4969

Step 2: Find the prime factorization of 4971

4971 = 3 x 1657

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

LCM = 24700899 = 3 x 1657 x 4969

Step 4: Therefore, the least common multiple of 4969 and 4971 is 24700899.