Least Common Multiple of 4971 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 4971 and 4974 the smallest integer that is 8241918 that is divisible by both numbers.

Least Common Multiple (LCM) of 4971 and 4974 is 8241918.

LCM(4971,4974) = 8241918

LCM of 4971 and 4974

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

LCM of:
and

Least Common Multiple of 4971 and 4974

LCM of 4971 and 4974 is 8241918

Least common multiple can be found by multiplying the highest exponent prime factors of 4971 and 4974. First we will calculate the prime factors of 4971 and 4974.

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

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 4971 and 4974.

LCM(4971,4974) = 21×31×8291×16571
LCM(4971,4974) = 8241918

Factors of 4971

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

1, 3, 1657, 4971

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 4971 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 4971 and 4974, than apply into the LCM equation.

GCF(4971,4974) = 3
LCM(4971,4974) = ( 4971 × 4974) / 3
LCM(4971,4974) = 24725754 / 3
LCM(4971,4974) = 8241918

Properties of LCM 4971 and 4974

(i) The LCM of 4974 and 4971 is associative

LCM of 4971 and 4974 = LCM of 4974 and 4971

Related Least Common Multiples of 4971

Related Least Common Multiples of 4974

Frequently Asked Questions on LCM of 4971 and 4974

1. What is the LCM of 4971 and 4974?

Answer: LCM of 4971 and 4974 is 8241918.

2. 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.

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 4971 and 4974?

Answer:

Least Common Multiple of 4971 and 4974 = 8241918

Step 1: Find the prime factorization of 4971

4971 = 3 x 1657

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 = 8241918 = 2 x 3 x 829 x 1657

Step 4: Therefore, the least common multiple of 4971 and 4974 is 8241918.