Least Common Multiple of 650 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 650 and 653 the smallest integer that is 424450 that is divisible by both numbers.

Least Common Multiple (LCM) of 650 and 653 is 424450.

LCM(650,653) = 424450

LCM of 650 and 653

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

LCM of:
and

Least Common Multiple of 650 and 653

LCM of 650 and 653 is 424450

Least common multiple can be found by multiplying the highest exponent prime factors of 650 and 653. First we will calculate the prime factors of 650 and 653.

Prime Factorization of 650


2 650
5 325
5 65
13 13
1

Prime factors of 650 are 2, 5,13. Prime factorization of 650 in exponential form is:

650 = 21×52×131

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 650 and 653.

LCM(650,653) = 21×52×131×6531
LCM(650,653) = 424450

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Factors of 653

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

1, 653

Least Common Multiple of 650 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 650 and 653, than apply into the LCM equation.

GCF(650,653) = 1
LCM(650,653) = ( 650 × 653) / 1
LCM(650,653) = 424450 / 1
LCM(650,653) = 424450

Properties of LCM 650 and 653

(i) The LCM of 653 and 650 is associative

LCM of 650 and 653 = LCM of 653 and 650

Related Least Common Multiples of 650

Related Least Common Multiples of 653

Frequently Asked Questions on LCM of 650 and 653

1. What is the LCM of 650 and 653?

Answer: LCM of 650 and 653 is 424450.

2. What are the Factors of 650?

Answer: Factors of 650 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650. There are 12 integers that are factors of 650. The greatest factor of 650 is 650.

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 650 and 653?

Answer:

Least Common Multiple of 650 and 653 = 424450

Step 1: Find the prime factorization of 650

650 = 2 x 5 x 5 x 13

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 = 424450 = 2 x 5 x 5 x 13 x 653

Step 4: Therefore, the least common multiple of 650 and 653 is 424450.