Least Common Multiple of 4957 and 4965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4957 and 4965 the smallest integer that is 24611505 that is divisible by both numbers.

Least Common Multiple (LCM) of 4957 and 4965 is 24611505.

LCM(4957,4965) = 24611505

LCM of 4957 and 4965

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

LCM of:
and

Least Common Multiple of 4957 and 4965

LCM of 4957 and 4965 is 24611505

Least common multiple can be found by multiplying the highest exponent prime factors of 4957 and 4965. First we will calculate the prime factors of 4957 and 4965.

Prime Factorization of 4957


4957 4957
1

Prime factors of 4957 are 4957. Prime factorization of 4957 in exponential form is:

4957 = 49571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4957 and 4965.

LCM(4957,4965) = 31×51×3311×49571
LCM(4957,4965) = 24611505

Factors of 4957

List of positive integer factors of 4957 that divides 4957 without a remainder.

1, 4957

Factors of 4965

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

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

Least Common Multiple of 4957 and 4965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4957 and 4965, than apply into the LCM equation.

GCF(4957,4965) = 1
LCM(4957,4965) = ( 4957 × 4965) / 1
LCM(4957,4965) = 24611505 / 1
LCM(4957,4965) = 24611505

Properties of LCM 4957 and 4965

(i) The LCM of 4965 and 4957 is associative

LCM of 4957 and 4965 = LCM of 4965 and 4957

Related Least Common Multiples of 4957

Related Least Common Multiples of 4965

Frequently Asked Questions on LCM of 4957 and 4965

1. What is the LCM of 4957 and 4965?

Answer: LCM of 4957 and 4965 is 24611505.

2. What are the Factors of 4957?

Answer: Factors of 4957 are 1, 4957. There are 2 integers that are factors of 4957. The greatest factor of 4957 is 4957.

3. 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.

4. How to Find the LCM of 4957 and 4965?

Answer:

Least Common Multiple of 4957 and 4965 = 24611505

Step 1: Find the prime factorization of 4957

4957 = 4957

Step 2: Find the prime factorization of 4965

4965 = 3 x 5 x 331

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

LCM = 24611505 = 3 x 5 x 331 x 4957

Step 4: Therefore, the least common multiple of 4957 and 4965 is 24611505.