Least Common Multiple of 4657 and 4661

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 4661 the smallest integer that is 21706277 that is divisible by both numbers.

Least Common Multiple (LCM) of 4657 and 4661 is 21706277.

LCM(4657,4661) = 21706277

LCM of 4657 and 4661

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

LCM of:
and

Least Common Multiple of 4657 and 4661

LCM of 4657 and 4661 is 21706277

Least common multiple can be found by multiplying the highest exponent prime factors of 4657 and 4661. First we will calculate the prime factors of 4657 and 4661.

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 4661


59 4661
79 79
1

Prime factors of 4661 are 59,79. Prime factorization of 4661 in exponential form is:

4661 = 591×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4657 and 4661.

LCM(4657,4661) = 591×791×46571
LCM(4657,4661) = 21706277

Factors of 4657

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

1, 4657

Factors of 4661

List of positive integer factors of 4661 that divides 4661 without a remainder.

1, 59, 79, 4661

Least Common Multiple of 4657 and 4661 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 4661, than apply into the LCM equation.

GCF(4657,4661) = 1
LCM(4657,4661) = ( 4657 × 4661) / 1
LCM(4657,4661) = 21706277 / 1
LCM(4657,4661) = 21706277

Properties of LCM 4657 and 4661

(i) The LCM of 4661 and 4657 is associative

LCM of 4657 and 4661 = LCM of 4661 and 4657

Related Least Common Multiples of 4657

Related Least Common Multiples of 4661

Frequently Asked Questions on LCM of 4657 and 4661

1. What is the LCM of 4657 and 4661?

Answer: LCM of 4657 and 4661 is 21706277.

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 4661?

Answer: Factors of 4661 are 1, 59, 79, 4661. There are 4 integers that are factors of 4661. The greatest factor of 4661 is 4661.

4. How to Find the LCM of 4657 and 4661?

Answer:

Least Common Multiple of 4657 and 4661 = 21706277

Step 1: Find the prime factorization of 4657

4657 = 4657

Step 2: Find the prime factorization of 4661

4661 = 59 x 79

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

LCM = 21706277 = 59 x 79 x 4657

Step 4: Therefore, the least common multiple of 4657 and 4661 is 21706277.