Least Common Multiple of 4971 and 4978

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 4978 the smallest integer that is 24745638 that is divisible by both numbers.

Least Common Multiple (LCM) of 4971 and 4978 is 24745638.

LCM(4971,4978) = 24745638

LCM of 4971 and 4978

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

LCM of:
and

Least Common Multiple of 4971 and 4978

LCM of 4971 and 4978 is 24745638

Least common multiple can be found by multiplying the highest exponent prime factors of 4971 and 4978. First we will calculate the prime factors of 4971 and 4978.

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 4978


2 4978
19 2489
131 131
1

Prime factors of 4978 are 2, 19,131. Prime factorization of 4978 in exponential form is:

4978 = 21×191×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 4971 and 4978.

LCM(4971,4978) = 21×31×191×1311×16571
LCM(4971,4978) = 24745638

Factors of 4971

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

1, 3, 1657, 4971

Factors of 4978

List of positive integer factors of 4978 that divides 4978 without a remainder.

1, 2, 19, 38, 131, 262, 2489, 4978

Least Common Multiple of 4971 and 4978 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 4978, than apply into the LCM equation.

GCF(4971,4978) = 1
LCM(4971,4978) = ( 4971 × 4978) / 1
LCM(4971,4978) = 24745638 / 1
LCM(4971,4978) = 24745638

Properties of LCM 4971 and 4978

(i) The LCM of 4978 and 4971 is associative

LCM of 4971 and 4978 = LCM of 4978 and 4971

Related Least Common Multiples of 4971

Related Least Common Multiples of 4978

Frequently Asked Questions on LCM of 4971 and 4978

1. What is the LCM of 4971 and 4978?

Answer: LCM of 4971 and 4978 is 24745638.

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 4978?

Answer: Factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978. There are 8 integers that are factors of 4978. The greatest factor of 4978 is 4978.

4. How to Find the LCM of 4971 and 4978?

Answer:

Least Common Multiple of 4971 and 4978 = 24745638

Step 1: Find the prime factorization of 4971

4971 = 3 x 1657

Step 2: Find the prime factorization of 4978

4978 = 2 x 19 x 131

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

LCM = 24745638 = 2 x 3 x 19 x 131 x 1657

Step 4: Therefore, the least common multiple of 4971 and 4978 is 24745638.