Least Common Multiple of 646 and 653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 646 and 653 the smallest integer that is 421838 that is divisible by both numbers.

Least Common Multiple (LCM) of 646 and 653 is 421838.

LCM(646,653) = 421838

LCM of 646 and 653

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

LCM of:
and

Least Common Multiple of 646 and 653

LCM of 646 and 653 is 421838

Least common multiple can be found by multiplying the highest exponent prime factors of 646 and 653. First we will calculate the prime factors of 646 and 653.

Prime Factorization of 646


2 646
17 323
19 19
1

Prime factors of 646 are 2, 17,19. Prime factorization of 646 in exponential form is:

646 = 21×171×191

Prime Factorization of 653


653 653
1

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

653 = 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 646 and 653.

LCM(646,653) = 21×171×191×6531
LCM(646,653) = 421838

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Factors of 653

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

1, 653

Least Common Multiple of 646 and 653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 646 and 653, than apply into the LCM equation.

GCF(646,653) = 1
LCM(646,653) = ( 646 × 653) / 1
LCM(646,653) = 421838 / 1
LCM(646,653) = 421838

Properties of LCM 646 and 653

(i) The LCM of 653 and 646 is associative

LCM of 646 and 653 = LCM of 653 and 646

Related Least Common Multiples of 646

Related Least Common Multiples of 653

Frequently Asked Questions on LCM of 646 and 653

1. What is the LCM of 646 and 653?

Answer: LCM of 646 and 653 is 421838.

2. What are the Factors of 646?

Answer: Factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646. There are 8 integers that are factors of 646. The greatest factor of 646 is 646.

3. 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.

4. How to Find the LCM of 646 and 653?

Answer:

Least Common Multiple of 646 and 653 = 421838

Step 1: Find the prime factorization of 646

646 = 2 x 17 x 19

Step 2: Find the prime factorization of 653

653 = 653

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

LCM = 421838 = 2 x 17 x 19 x 653

Step 4: Therefore, the least common multiple of 646 and 653 is 421838.