Least Common Multiple of 4971 and 4972

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 4972 the smallest integer that is 24715812 that is divisible by both numbers.

Least Common Multiple (LCM) of 4971 and 4972 is 24715812.

LCM(4971,4972) = 24715812

LCM of 4971 and 4972

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

LCM of:
and

Least Common Multiple of 4971 and 4972

LCM of 4971 and 4972 is 24715812

Least common multiple can be found by multiplying the highest exponent prime factors of 4971 and 4972. First we will calculate the prime factors of 4971 and 4972.

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 4972


2 4972
2 2486
11 1243
113 113
1

Prime factors of 4972 are 2, 11,113. Prime factorization of 4972 in exponential form is:

4972 = 22×111×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4971 and 4972.

LCM(4971,4972) = 22×31×111×1131×16571
LCM(4971,4972) = 24715812

Factors of 4971

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

1, 3, 1657, 4971

Factors of 4972

List of positive integer factors of 4972 that divides 4972 without a remainder.

1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972

Least Common Multiple of 4971 and 4972 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 4972, than apply into the LCM equation.

GCF(4971,4972) = 1
LCM(4971,4972) = ( 4971 × 4972) / 1
LCM(4971,4972) = 24715812 / 1
LCM(4971,4972) = 24715812

Properties of LCM 4971 and 4972

(i) The LCM of 4972 and 4971 is associative

LCM of 4971 and 4972 = LCM of 4972 and 4971

Related Least Common Multiples of 4971

Related Least Common Multiples of 4972

Frequently Asked Questions on LCM of 4971 and 4972

1. What is the LCM of 4971 and 4972?

Answer: LCM of 4971 and 4972 is 24715812.

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 4972?

Answer: Factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972. There are 12 integers that are factors of 4972. The greatest factor of 4972 is 4972.

4. How to Find the LCM of 4971 and 4972?

Answer:

Least Common Multiple of 4971 and 4972 = 24715812

Step 1: Find the prime factorization of 4971

4971 = 3 x 1657

Step 2: Find the prime factorization of 4972

4972 = 2 x 2 x 11 x 113

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

LCM = 24715812 = 2 x 2 x 3 x 11 x 113 x 1657

Step 4: Therefore, the least common multiple of 4971 and 4972 is 24715812.