Least Common Multiple of 642 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 642 and 648 the smallest integer that is 69336 that is divisible by both numbers.

Least Common Multiple (LCM) of 642 and 648 is 69336.

LCM(642,648) = 69336

LCM of 642 and 648

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

LCM of:
and

Least Common Multiple of 642 and 648

LCM of 642 and 648 is 69336

Least common multiple can be found by multiplying the highest exponent prime factors of 642 and 648. First we will calculate the prime factors of 642 and 648.

Prime Factorization of 642


2 642
3 321
107 107
1

Prime factors of 642 are 2, 3,107. Prime factorization of 642 in exponential form is:

642 = 21×31×1071

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 642 and 648.

LCM(642,648) = 23×34×1071
LCM(642,648) = 69336

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

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 642 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 642 and 648, than apply into the LCM equation.

GCF(642,648) = 6
LCM(642,648) = ( 642 × 648) / 6
LCM(642,648) = 416016 / 6
LCM(642,648) = 69336

Properties of LCM 642 and 648

(i) The LCM of 648 and 642 is associative

LCM of 642 and 648 = LCM of 648 and 642

Related Least Common Multiples of 642

Related Least Common Multiples of 648

Frequently Asked Questions on LCM of 642 and 648

1. What is the LCM of 642 and 648?

Answer: LCM of 642 and 648 is 69336.

2. What are the Factors of 642?

Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.

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 642 and 648?

Answer:

Least Common Multiple of 642 and 648 = 69336

Step 1: Find the prime factorization of 642

642 = 2 x 3 x 107

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 = 69336 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 107

Step 4: Therefore, the least common multiple of 642 and 648 is 69336.