Least Common Multiple of 641 and 642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 641 and 642 the smallest integer that is 411522 that is divisible by both numbers.

Least Common Multiple (LCM) of 641 and 642 is 411522.

LCM(641,642) = 411522

LCM of 641 and 642

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

LCM of:
and

Least Common Multiple of 641 and 642

LCM of 641 and 642 is 411522

Least common multiple can be found by multiplying the highest exponent prime factors of 641 and 642. First we will calculate the prime factors of 641 and 642.

Prime Factorization of 641


641 641
1

Prime factors of 641 are 641. Prime factorization of 641 in exponential form is:

641 = 6411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 641 and 642.

LCM(641,642) = 21×31×1071×6411
LCM(641,642) = 411522

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1, 641

Factors of 642

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

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

Least Common Multiple of 641 and 642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 641 and 642, than apply into the LCM equation.

GCF(641,642) = 1
LCM(641,642) = ( 641 × 642) / 1
LCM(641,642) = 411522 / 1
LCM(641,642) = 411522

Properties of LCM 641 and 642

(i) The LCM of 642 and 641 is associative

LCM of 641 and 642 = LCM of 642 and 641

Related Least Common Multiples of 641

Related Least Common Multiples of 642

Frequently Asked Questions on LCM of 641 and 642

1. What is the LCM of 641 and 642?

Answer: LCM of 641 and 642 is 411522.

2. What are the Factors of 641?

Answer: Factors of 641 are 1, 641. There are 2 integers that are factors of 641. The greatest factor of 641 is 641.

3. 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.

4. How to Find the LCM of 641 and 642?

Answer:

Least Common Multiple of 641 and 642 = 411522

Step 1: Find the prime factorization of 641

641 = 641

Step 2: Find the prime factorization of 642

642 = 2 x 3 x 107

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

LCM = 411522 = 2 x 3 x 107 x 641

Step 4: Therefore, the least common multiple of 641 and 642 is 411522.