Least Common Multiple of 643 and 651

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 651 the smallest integer that is 418593 that is divisible by both numbers.

Least Common Multiple (LCM) of 643 and 651 is 418593.

LCM(643,651) = 418593

LCM of 643 and 651

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

LCM of:
and

Least Common Multiple of 643 and 651

LCM of 643 and 651 is 418593

Least common multiple can be found by multiplying the highest exponent prime factors of 643 and 651. First we will calculate the prime factors of 643 and 651.

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 651


3 651
7 217
31 31
1

Prime factors of 651 are 3, 7,31. Prime factorization of 651 in exponential form is:

651 = 31×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 643 and 651.

LCM(643,651) = 31×71×311×6431
LCM(643,651) = 418593

Factors of 643

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

1, 643

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Least Common Multiple of 643 and 651 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 651, than apply into the LCM equation.

GCF(643,651) = 1
LCM(643,651) = ( 643 × 651) / 1
LCM(643,651) = 418593 / 1
LCM(643,651) = 418593

Properties of LCM 643 and 651

(i) The LCM of 651 and 643 is associative

LCM of 643 and 651 = LCM of 651 and 643

Related Least Common Multiples of 643

Related Least Common Multiples of 651

Frequently Asked Questions on LCM of 643 and 651

1. What is the LCM of 643 and 651?

Answer: LCM of 643 and 651 is 418593.

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 651?

Answer: Factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651. There are 8 integers that are factors of 651. The greatest factor of 651 is 651.

4. How to Find the LCM of 643 and 651?

Answer:

Least Common Multiple of 643 and 651 = 418593

Step 1: Find the prime factorization of 643

643 = 643

Step 2: Find the prime factorization of 651

651 = 3 x 7 x 31

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

LCM = 418593 = 3 x 7 x 31 x 643

Step 4: Therefore, the least common multiple of 643 and 651 is 418593.