Least Common Multiple of 648 and 654

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 654 the smallest integer that is 70632 that is divisible by both numbers.

Least Common Multiple (LCM) of 648 and 654 is 70632.

LCM(648,654) = 70632

LCM of 648 and 654

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

LCM of:
and

Least Common Multiple of 648 and 654

LCM of 648 and 654 is 70632

Least common multiple can be found by multiplying the highest exponent prime factors of 648 and 654. First we will calculate the prime factors of 648 and 654.

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 654


2 654
3 327
109 109
1

Prime factors of 654 are 2, 3,109. Prime factorization of 654 in exponential form is:

654 = 21×31×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 648 and 654.

LCM(648,654) = 23×34×1091
LCM(648,654) = 70632

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 654

List of positive integer factors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Least Common Multiple of 648 and 654 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 654, than apply into the LCM equation.

GCF(648,654) = 6
LCM(648,654) = ( 648 × 654) / 6
LCM(648,654) = 423792 / 6
LCM(648,654) = 70632

Properties of LCM 648 and 654

(i) The LCM of 654 and 648 is associative

LCM of 648 and 654 = LCM of 654 and 648

Related Least Common Multiples of 648

Related Least Common Multiples of 654

Frequently Asked Questions on LCM of 648 and 654

1. What is the LCM of 648 and 654?

Answer: LCM of 648 and 654 is 70632.

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 654?

Answer: Factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654. There are 8 integers that are factors of 654. The greatest factor of 654 is 654.

4. How to Find the LCM of 648 and 654?

Answer:

Least Common Multiple of 648 and 654 = 70632

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 654

654 = 2 x 3 x 109

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

LCM = 70632 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 109

Step 4: Therefore, the least common multiple of 648 and 654 is 70632.