Least Common Multiple of 648 and 652

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 652 the smallest integer that is 105624 that is divisible by both numbers.

Least Common Multiple (LCM) of 648 and 652 is 105624.

LCM(648,652) = 105624

LCM of 648 and 652

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

LCM of:
and

Least Common Multiple of 648 and 652

LCM of 648 and 652 is 105624

Least common multiple can be found by multiplying the highest exponent prime factors of 648 and 652. First we will calculate the prime factors of 648 and 652.

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 652


2 652
2 326
163 163
1

Prime factors of 652 are 2,163. Prime factorization of 652 in exponential form is:

652 = 22×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 648 and 652.

LCM(648,652) = 23×34×1631
LCM(648,652) = 105624

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 652

List of positive integer factors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Least Common Multiple of 648 and 652 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 652, than apply into the LCM equation.

GCF(648,652) = 4
LCM(648,652) = ( 648 × 652) / 4
LCM(648,652) = 422496 / 4
LCM(648,652) = 105624

Properties of LCM 648 and 652

(i) The LCM of 652 and 648 is associative

LCM of 648 and 652 = LCM of 652 and 648

Related Least Common Multiples of 648

Related Least Common Multiples of 652

Frequently Asked Questions on LCM of 648 and 652

1. What is the LCM of 648 and 652?

Answer: LCM of 648 and 652 is 105624.

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 652?

Answer: Factors of 652 are 1, 2, 4, 163, 326, 652. There are 6 integers that are factors of 652. The greatest factor of 652 is 652.

4. How to Find the LCM of 648 and 652?

Answer:

Least Common Multiple of 648 and 652 = 105624

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 652

652 = 2 x 2 x 163

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

LCM = 105624 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 163

Step 4: Therefore, the least common multiple of 648 and 652 is 105624.