Least Common Multiple of 4969 and 4974

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 4974 the smallest integer that is 24715806 that is divisible by both numbers.

Least Common Multiple (LCM) of 4969 and 4974 is 24715806.

LCM(4969,4974) = 24715806

LCM of 4969 and 4974

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

LCM of:
and

Least Common Multiple of 4969 and 4974

LCM of 4969 and 4974 is 24715806

Least common multiple can be found by multiplying the highest exponent prime factors of 4969 and 4974. First we will calculate the prime factors of 4969 and 4974.

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 4974


2 4974
3 2487
829 829
1

Prime factors of 4974 are 2, 3,829. Prime factorization of 4974 in exponential form is:

4974 = 21×31×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 4969 and 4974.

LCM(4969,4974) = 21×31×8291×49691
LCM(4969,4974) = 24715806

Factors of 4969

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

1, 4969

Factors of 4974

List of positive integer factors of 4974 that divides 4974 without a remainder.

1, 2, 3, 6, 829, 1658, 2487, 4974

Least Common Multiple of 4969 and 4974 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 4974, than apply into the LCM equation.

GCF(4969,4974) = 1
LCM(4969,4974) = ( 4969 × 4974) / 1
LCM(4969,4974) = 24715806 / 1
LCM(4969,4974) = 24715806

Properties of LCM 4969 and 4974

(i) The LCM of 4974 and 4969 is associative

LCM of 4969 and 4974 = LCM of 4974 and 4969

Related Least Common Multiples of 4969

Related Least Common Multiples of 4974

Frequently Asked Questions on LCM of 4969 and 4974

1. What is the LCM of 4969 and 4974?

Answer: LCM of 4969 and 4974 is 24715806.

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 4974?

Answer: Factors of 4974 are 1, 2, 3, 6, 829, 1658, 2487, 4974. There are 8 integers that are factors of 4974. The greatest factor of 4974 is 4974.

4. How to Find the LCM of 4969 and 4974?

Answer:

Least Common Multiple of 4969 and 4974 = 24715806

Step 1: Find the prime factorization of 4969

4969 = 4969

Step 2: Find the prime factorization of 4974

4974 = 2 x 3 x 829

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

LCM = 24715806 = 2 x 3 x 829 x 4969

Step 4: Therefore, the least common multiple of 4969 and 4974 is 24715806.