Least Common Multiple of 648 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 648 and 651 the smallest integer that is 140616 that is divisible by both numbers.

Least Common Multiple (LCM) of 648 and 651 is 140616.

LCM(648,651) = 140616

LCM of 648 and 651

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

LCM of:
and

Least Common Multiple of 648 and 651

LCM of 648 and 651 is 140616

Least common multiple can be found by multiplying the highest exponent prime factors of 648 and 651. First we will calculate the prime factors of 648 and 651.

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

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 648 and 651.

LCM(648,651) = 23×34×71×311
LCM(648,651) = 140616

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

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 648 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 648 and 651, than apply into the LCM equation.

GCF(648,651) = 3
LCM(648,651) = ( 648 × 651) / 3
LCM(648,651) = 421848 / 3
LCM(648,651) = 140616

Properties of LCM 648 and 651

(i) The LCM of 651 and 648 is associative

LCM of 648 and 651 = LCM of 651 and 648

Related Least Common Multiples of 648

Related Least Common Multiples of 651

Frequently Asked Questions on LCM of 648 and 651

1. What is the LCM of 648 and 651?

Answer: LCM of 648 and 651 is 140616.

2. 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.

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 648 and 651?

Answer:

Least Common Multiple of 648 and 651 = 140616

Step 1: Find the prime factorization of 648

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

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 = 140616 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 31

Step 4: Therefore, the least common multiple of 648 and 651 is 140616.