Least Common Multiple of 4965 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 4965 and 4971 the smallest integer that is 8227005 that is divisible by both numbers.

Least Common Multiple (LCM) of 4965 and 4971 is 8227005.

LCM(4965,4971) = 8227005

LCM of 4965 and 4971

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

LCM of:
and

Least Common Multiple of 4965 and 4971

LCM of 4965 and 4971 is 8227005

Least common multiple can be found by multiplying the highest exponent prime factors of 4965 and 4971. First we will calculate the prime factors of 4965 and 4971.

Prime Factorization of 4965


3 4965
5 1655
331 331
1

Prime factors of 4965 are 3, 5,331. Prime factorization of 4965 in exponential form is:

4965 = 31×51×3311

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 4965 and 4971.

LCM(4965,4971) = 31×51×3311×16571
LCM(4965,4971) = 8227005

Factors of 4965

List of positive integer factors of 4965 that divides 4965 without a remainder.

1, 3, 5, 15, 331, 993, 1655, 4965

Factors of 4971

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

1, 3, 1657, 4971

Least Common Multiple of 4965 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 4965 and 4971, than apply into the LCM equation.

GCF(4965,4971) = 3
LCM(4965,4971) = ( 4965 × 4971) / 3
LCM(4965,4971) = 24681015 / 3
LCM(4965,4971) = 8227005

Properties of LCM 4965 and 4971

(i) The LCM of 4971 and 4965 is associative

LCM of 4965 and 4971 = LCM of 4971 and 4965

Related Least Common Multiples of 4965

Related Least Common Multiples of 4971

Frequently Asked Questions on LCM of 4965 and 4971

1. What is the LCM of 4965 and 4971?

Answer: LCM of 4965 and 4971 is 8227005.

2. What are the Factors of 4965?

Answer: Factors of 4965 are 1, 3, 5, 15, 331, 993, 1655, 4965. There are 8 integers that are factors of 4965. The greatest factor of 4965 is 4965.

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 4965 and 4971?

Answer:

Least Common Multiple of 4965 and 4971 = 8227005

Step 1: Find the prime factorization of 4965

4965 = 3 x 5 x 331

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 = 8227005 = 3 x 5 x 331 x 1657

Step 4: Therefore, the least common multiple of 4965 and 4971 is 8227005.