Least Common Multiple of 4649 and 4657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4649 and 4657 the smallest integer that is 21650393 that is divisible by both numbers.

Least Common Multiple (LCM) of 4649 and 4657 is 21650393.

LCM(4649,4657) = 21650393

LCM of 4649 and 4657

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

LCM of:
and

Least Common Multiple of 4649 and 4657

LCM of 4649 and 4657 is 21650393

Least common multiple can be found by multiplying the highest exponent prime factors of 4649 and 4657. First we will calculate the prime factors of 4649 and 4657.

Prime Factorization of 4649


4649 4649
1

Prime factors of 4649 are 4649. Prime factorization of 4649 in exponential form is:

4649 = 46491

Prime Factorization of 4657


4657 4657
1

Prime factors of 4657 are 4657. Prime factorization of 4657 in exponential form is:

4657 = 46571

Now multiplying the highest exponent prime factors to calculate the LCM of 4649 and 4657.

LCM(4649,4657) = 46491×46571
LCM(4649,4657) = 21650393

Factors of 4649

List of positive integer factors of 4649 that divides 4649 without a remainder.

1, 4649

Factors of 4657

List of positive integer factors of 4657 that divides 4657 without a remainder.

1, 4657

Least Common Multiple of 4649 and 4657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4649 and 4657, than apply into the LCM equation.

GCF(4649,4657) = 1
LCM(4649,4657) = ( 4649 × 4657) / 1
LCM(4649,4657) = 21650393 / 1
LCM(4649,4657) = 21650393

Properties of LCM 4649 and 4657

(i) The LCM of 4657 and 4649 is associative

LCM of 4649 and 4657 = LCM of 4657 and 4649

Related Least Common Multiples of 4649

Related Least Common Multiples of 4657

Frequently Asked Questions on LCM of 4649 and 4657

1. What is the LCM of 4649 and 4657?

Answer: LCM of 4649 and 4657 is 21650393.

2. What are the Factors of 4649?

Answer: Factors of 4649 are 1, 4649. There are 2 integers that are factors of 4649. The greatest factor of 4649 is 4649.

3. What are the Factors of 4657?

Answer: Factors of 4657 are 1, 4657. There are 2 integers that are factors of 4657. The greatest factor of 4657 is 4657.

4. How to Find the LCM of 4649 and 4657?

Answer:

Least Common Multiple of 4649 and 4657 = 21650393

Step 1: Find the prime factorization of 4649

4649 = 4649

Step 2: Find the prime factorization of 4657

4657 = 4657

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

LCM = 21650393 = 4649 x 4657

Step 4: Therefore, the least common multiple of 4649 and 4657 is 21650393.