Least Common Multiple of 653 and 659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 653 and 659 the smallest integer that is 430327 that is divisible by both numbers.

Least Common Multiple (LCM) of 653 and 659 is 430327.

LCM(653,659) = 430327

LCM of 653 and 659

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

LCM of:
and

Least Common Multiple of 653 and 659

LCM of 653 and 659 is 430327

Least common multiple can be found by multiplying the highest exponent prime factors of 653 and 659. First we will calculate the prime factors of 653 and 659.

Prime Factorization of 653


653 653
1

Prime factors of 653 are 653. Prime factorization of 653 in exponential form is:

653 = 6531

Prime Factorization of 659


659 659
1

Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:

659 = 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 653 and 659.

LCM(653,659) = 6531×6591
LCM(653,659) = 430327

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1, 653

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1, 659

Least Common Multiple of 653 and 659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 653 and 659, than apply into the LCM equation.

GCF(653,659) = 1
LCM(653,659) = ( 653 × 659) / 1
LCM(653,659) = 430327 / 1
LCM(653,659) = 430327

Properties of LCM 653 and 659

(i) The LCM of 659 and 653 is associative

LCM of 653 and 659 = LCM of 659 and 653

Related Least Common Multiples of 653

Related Least Common Multiples of 659

Frequently Asked Questions on LCM of 653 and 659

1. What is the LCM of 653 and 659?

Answer: LCM of 653 and 659 is 430327.

2. What are the Factors of 653?

Answer: Factors of 653 are 1, 653. There are 2 integers that are factors of 653. The greatest factor of 653 is 653.

3. What are the Factors of 659?

Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.

4. How to Find the LCM of 653 and 659?

Answer:

Least Common Multiple of 653 and 659 = 430327

Step 1: Find the prime factorization of 653

653 = 653

Step 2: Find the prime factorization of 659

659 = 659

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

LCM = 430327 = 653 x 659

Step 4: Therefore, the least common multiple of 653 and 659 is 430327.