Least Common Multiple of 641 and 648

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 648 the smallest integer that is 415368 that is divisible by both numbers.

Least Common Multiple (LCM) of 641 and 648 is 415368.

LCM(641,648) = 415368

LCM of 641 and 648

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

LCM of:
and

Least Common Multiple of 641 and 648

LCM of 641 and 648 is 415368

Least common multiple can be found by multiplying the highest exponent prime factors of 641 and 648. First we will calculate the prime factors of 641 and 648.

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 648


2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 648 are 2,3. Prime factorization of 648 in exponential form is:

648 = 23×34

Now multiplying the highest exponent prime factors to calculate the LCM of 641 and 648.

LCM(641,648) = 23×34×6411
LCM(641,648) = 415368

Factors of 641

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

1, 641

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Least Common Multiple of 641 and 648 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 648, than apply into the LCM equation.

GCF(641,648) = 1
LCM(641,648) = ( 641 × 648) / 1
LCM(641,648) = 415368 / 1
LCM(641,648) = 415368

Properties of LCM 641 and 648

(i) The LCM of 648 and 641 is associative

LCM of 641 and 648 = LCM of 648 and 641

Related Least Common Multiples of 641

Related Least Common Multiples of 648

Frequently Asked Questions on LCM of 641 and 648

1. What is the LCM of 641 and 648?

Answer: LCM of 641 and 648 is 415368.

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 648?

Answer: Factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648. There are 20 integers that are factors of 648. The greatest factor of 648 is 648.

4. How to Find the LCM of 641 and 648?

Answer:

Least Common Multiple of 641 and 648 = 415368

Step 1: Find the prime factorization of 641

641 = 641

Step 2: Find the prime factorization of 648

648 = 2 x 2 x 2 x 3 x 3 x 3 x 3

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

LCM = 415368 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 641

Step 4: Therefore, the least common multiple of 641 and 648 is 415368.