Least Common Multiple of 642 and 643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 642 and 643 the smallest integer that is 412806 that is divisible by both numbers.

Least Common Multiple (LCM) of 642 and 643 is 412806.

LCM(642,643) = 412806

LCM of 642 and 643

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

LCM of:
and

Least Common Multiple of 642 and 643

LCM of 642 and 643 is 412806

Least common multiple can be found by multiplying the highest exponent prime factors of 642 and 643. First we will calculate the prime factors of 642 and 643.

Prime Factorization of 642


2 642
3 321
107 107
1

Prime factors of 642 are 2, 3,107. Prime factorization of 642 in exponential form is:

642 = 21×31×1071

Prime Factorization of 643


643 643
1

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

643 = 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 642 and 643.

LCM(642,643) = 21×31×1071×6431
LCM(642,643) = 412806

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Factors of 643

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

1, 643

Least Common Multiple of 642 and 643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 642 and 643, than apply into the LCM equation.

GCF(642,643) = 1
LCM(642,643) = ( 642 × 643) / 1
LCM(642,643) = 412806 / 1
LCM(642,643) = 412806

Properties of LCM 642 and 643

(i) The LCM of 643 and 642 is associative

LCM of 642 and 643 = LCM of 643 and 642

Related Least Common Multiples of 642

Related Least Common Multiples of 643

Frequently Asked Questions on LCM of 642 and 643

1. What is the LCM of 642 and 643?

Answer: LCM of 642 and 643 is 412806.

2. What are the Factors of 642?

Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.

3. 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.

4. How to Find the LCM of 642 and 643?

Answer:

Least Common Multiple of 642 and 643 = 412806

Step 1: Find the prime factorization of 642

642 = 2 x 3 x 107

Step 2: Find the prime factorization of 643

643 = 643

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

LCM = 412806 = 2 x 3 x 107 x 643

Step 4: Therefore, the least common multiple of 642 and 643 is 412806.