Least Common Multiple of 643 and 645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 643 and 645 the smallest integer that is 414735 that is divisible by both numbers.

Least Common Multiple (LCM) of 643 and 645 is 414735.

LCM(643,645) = 414735

LCM of 643 and 645

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

LCM of:
and

Least Common Multiple of 643 and 645

LCM of 643 and 645 is 414735

Least common multiple can be found by multiplying the highest exponent prime factors of 643 and 645. First we will calculate the prime factors of 643 and 645.

Prime Factorization of 643


643 643
1

Prime factors of 643 are 643. Prime factorization of 643 in exponential form is:

643 = 6431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 643 and 645.

LCM(643,645) = 31×51×431×6431
LCM(643,645) = 414735

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1, 643

Factors of 645

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

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

Least Common Multiple of 643 and 645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 643 and 645, than apply into the LCM equation.

GCF(643,645) = 1
LCM(643,645) = ( 643 × 645) / 1
LCM(643,645) = 414735 / 1
LCM(643,645) = 414735

Properties of LCM 643 and 645

(i) The LCM of 645 and 643 is associative

LCM of 643 and 645 = LCM of 645 and 643

Related Least Common Multiples of 643

Related Least Common Multiples of 645

Frequently Asked Questions on LCM of 643 and 645

1. What is the LCM of 643 and 645?

Answer: LCM of 643 and 645 is 414735.

2. What are the Factors of 643?

Answer: Factors of 643 are 1, 643. There are 2 integers that are factors of 643. The greatest factor of 643 is 643.

3. 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.

4. How to Find the LCM of 643 and 645?

Answer:

Least Common Multiple of 643 and 645 = 414735

Step 1: Find the prime factorization of 643

643 = 643

Step 2: Find the prime factorization of 645

645 = 3 x 5 x 43

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

LCM = 414735 = 3 x 5 x 43 x 643

Step 4: Therefore, the least common multiple of 643 and 645 is 414735.