Least Common Multiple of 645 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 645 and 653 the smallest integer that is 421185 that is divisible by both numbers.

Least Common Multiple (LCM) of 645 and 653 is 421185.

LCM(645,653) = 421185

LCM of 645 and 653

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

LCM of:
and

Least Common Multiple of 645 and 653

LCM of 645 and 653 is 421185

Least common multiple can be found by multiplying the highest exponent prime factors of 645 and 653. First we will calculate the prime factors of 645 and 653.

Prime Factorization of 645


3 645
5 215
43 43
1

Prime factors of 645 are 3, 5,43. Prime factorization of 645 in exponential form is:

645 = 31×51×431

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 645 and 653.

LCM(645,653) = 31×51×431×6531
LCM(645,653) = 421185

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Factors of 653

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

1, 653

Least Common Multiple of 645 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 645 and 653, than apply into the LCM equation.

GCF(645,653) = 1
LCM(645,653) = ( 645 × 653) / 1
LCM(645,653) = 421185 / 1
LCM(645,653) = 421185

Properties of LCM 645 and 653

(i) The LCM of 653 and 645 is associative

LCM of 645 and 653 = LCM of 653 and 645

Related Least Common Multiples of 645

Related Least Common Multiples of 653

Frequently Asked Questions on LCM of 645 and 653

1. What is the LCM of 645 and 653?

Answer: LCM of 645 and 653 is 421185.

2. What are the Factors of 645?

Answer: Factors of 645 are 1, 3, 5, 15, 43, 129, 215, 645. There are 8 integers that are factors of 645. The greatest factor of 645 is 645.

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 645 and 653?

Answer:

Least Common Multiple of 645 and 653 = 421185

Step 1: Find the prime factorization of 645

645 = 3 x 5 x 43

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 = 421185 = 3 x 5 x 43 x 653

Step 4: Therefore, the least common multiple of 645 and 653 is 421185.