Least Common Multiple of 39249 and 39255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 39249 and 39255 the smallest integer that is 513573165 that is divisible by both numbers.

Least Common Multiple (LCM) of 39249 and 39255 is 513573165.

LCM(39249,39255) = 513573165

LCM of 39249 and 39255

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

LCM of:
and

Least Common Multiple of 39249 and 39255

LCM of 39249 and 39255 is 513573165

Least common multiple can be found by multiplying the highest exponent prime factors of 39249 and 39255. First we will calculate the prime factors of 39249 and 39255.

Prime Factorization of 39249


3 39249
3 13083
7 4361
7 623
89 89
1

Prime factors of 39249 are 3, 7,89. Prime factorization of 39249 in exponential form is:

39249 = 32×72×891

Prime Factorization of 39255


3 39255
5 13085
2617 2617
1

Prime factors of 39255 are 3, 5,2617. Prime factorization of 39255 in exponential form is:

39255 = 31×51×26171

Now multiplying the highest exponent prime factors to calculate the LCM of 39249 and 39255.

LCM(39249,39255) = 32×51×72×891×26171
LCM(39249,39255) = 513573165

Factors of 39249

List of positive integer factors of 39249 that divides 39249 without a remainder.

1, 3, 7, 9, 21, 49, 63, 89, 147, 267, 441, 623, 801, 1869, 4361, 5607, 13083, 39249

Factors of 39255

List of positive integer factors of 39255 that divides 39255 without a remainder.

1, 3, 5, 15, 2617, 7851, 13085, 39255

Least Common Multiple of 39249 and 39255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39249 and 39255, than apply into the LCM equation.

GCF(39249,39255) = 3
LCM(39249,39255) = ( 39249 × 39255) / 3
LCM(39249,39255) = 1540719495 / 3
LCM(39249,39255) = 513573165

Properties of LCM 39249 and 39255

(i) The LCM of 39255 and 39249 is associative

LCM of 39249 and 39255 = LCM of 39255 and 39249

Related Least Common Multiples of 39249

Related Least Common Multiples of 39255

Frequently Asked Questions on LCM of 39249 and 39255

1. What is the LCM of 39249 and 39255?

Answer: LCM of 39249 and 39255 is 513573165.

2. What are the Factors of 39249?

Answer: Factors of 39249 are 1, 3, 7, 9, 21, 49, 63, 89, 147, 267, 441, 623, 801, 1869, 4361, 5607, 13083, 39249. There are 18 integers that are factors of 39249. The greatest factor of 39249 is 39249.

3. What are the Factors of 39255?

Answer: Factors of 39255 are 1, 3, 5, 15, 2617, 7851, 13085, 39255. There are 8 integers that are factors of 39255. The greatest factor of 39255 is 39255.

4. How to Find the LCM of 39249 and 39255?

Answer:

Least Common Multiple of 39249 and 39255 = 513573165

Step 1: Find the prime factorization of 39249

39249 = 3 x 3 x 7 x 7 x 89

Step 2: Find the prime factorization of 39255

39255 = 3 x 5 x 2617

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

LCM = 513573165 = 3 x 3 x 5 x 7 x 7 x 89 x 2617

Step 4: Therefore, the least common multiple of 39249 and 39255 is 513573165.