Least Common Multiple of 4657 and 4663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4657 and 4663 the smallest integer that is 21715591 that is divisible by both numbers.

Least Common Multiple (LCM) of 4657 and 4663 is 21715591.

LCM(4657,4663) = 21715591

LCM of 4657 and 4663

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

LCM of:
and

Least Common Multiple of 4657 and 4663

LCM of 4657 and 4663 is 21715591

Least common multiple can be found by multiplying the highest exponent prime factors of 4657 and 4663. First we will calculate the prime factors of 4657 and 4663.

Prime Factorization of 4657


4657 4657
1

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

4657 = 46571

Prime Factorization of 4663


4663 4663
1

Prime factors of 4663 are 4663. Prime factorization of 4663 in exponential form is:

4663 = 46631

Now multiplying the highest exponent prime factors to calculate the LCM of 4657 and 4663.

LCM(4657,4663) = 46571×46631
LCM(4657,4663) = 21715591

Factors of 4657

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

1, 4657

Factors of 4663

List of positive integer factors of 4663 that divides 4663 without a remainder.

1, 4663

Least Common Multiple of 4657 and 4663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4657 and 4663, than apply into the LCM equation.

GCF(4657,4663) = 1
LCM(4657,4663) = ( 4657 × 4663) / 1
LCM(4657,4663) = 21715591 / 1
LCM(4657,4663) = 21715591

Properties of LCM 4657 and 4663

(i) The LCM of 4663 and 4657 is associative

LCM of 4657 and 4663 = LCM of 4663 and 4657

Related Least Common Multiples of 4657

Related Least Common Multiples of 4663

Frequently Asked Questions on LCM of 4657 and 4663

1. What is the LCM of 4657 and 4663?

Answer: LCM of 4657 and 4663 is 21715591.

2. 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.

3. What are the Factors of 4663?

Answer: Factors of 4663 are 1, 4663. There are 2 integers that are factors of 4663. The greatest factor of 4663 is 4663.

4. How to Find the LCM of 4657 and 4663?

Answer:

Least Common Multiple of 4657 and 4663 = 21715591

Step 1: Find the prime factorization of 4657

4657 = 4657

Step 2: Find the prime factorization of 4663

4663 = 4663

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

LCM = 21715591 = 4657 x 4663

Step 4: Therefore, the least common multiple of 4657 and 4663 is 21715591.