Least Common Multiple of 642 and 644

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 644 the smallest integer that is 206724 that is divisible by both numbers.

Least Common Multiple (LCM) of 642 and 644 is 206724.

LCM(642,644) = 206724

LCM of 642 and 644

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

LCM of:
and

Least Common Multiple of 642 and 644

LCM of 642 and 644 is 206724

Least common multiple can be found by multiplying the highest exponent prime factors of 642 and 644. First we will calculate the prime factors of 642 and 644.

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 644


2 644
2 322
7 161
23 23
1

Prime factors of 644 are 2, 7,23. Prime factorization of 644 in exponential form is:

644 = 22×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 642 and 644.

LCM(642,644) = 22×31×71×231×1071
LCM(642,644) = 206724

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 644

List of positive integer factors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Least Common Multiple of 642 and 644 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 644, than apply into the LCM equation.

GCF(642,644) = 2
LCM(642,644) = ( 642 × 644) / 2
LCM(642,644) = 413448 / 2
LCM(642,644) = 206724

Properties of LCM 642 and 644

(i) The LCM of 644 and 642 is associative

LCM of 642 and 644 = LCM of 644 and 642

Related Least Common Multiples of 642

Related Least Common Multiples of 644

Frequently Asked Questions on LCM of 642 and 644

1. What is the LCM of 642 and 644?

Answer: LCM of 642 and 644 is 206724.

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 644?

Answer: Factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644. There are 12 integers that are factors of 644. The greatest factor of 644 is 644.

4. How to Find the LCM of 642 and 644?

Answer:

Least Common Multiple of 642 and 644 = 206724

Step 1: Find the prime factorization of 642

642 = 2 x 3 x 107

Step 2: Find the prime factorization of 644

644 = 2 x 2 x 7 x 23

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

LCM = 206724 = 2 x 2 x 3 x 7 x 23 x 107

Step 4: Therefore, the least common multiple of 642 and 644 is 206724.