Least Common Multiple of 36308 and 36312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36308 and 36312 the smallest integer that is 329604024 that is divisible by both numbers.

Least Common Multiple (LCM) of 36308 and 36312 is 329604024.

LCM(36308,36312) = 329604024

LCM of 36308 and 36312

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

LCM of:
and

Least Common Multiple of 36308 and 36312

LCM of 36308 and 36312 is 329604024

Least common multiple can be found by multiplying the highest exponent prime factors of 36308 and 36312. First we will calculate the prime factors of 36308 and 36312.

Prime Factorization of 36308


2 36308
2 18154
29 9077
313 313
1

Prime factors of 36308 are 2, 29,313. Prime factorization of 36308 in exponential form is:

36308 = 22×291×3131

Prime Factorization of 36312


2 36312
2 18156
2 9078
3 4539
17 1513
89 89
1

Prime factors of 36312 are 2, 3, 17,89. Prime factorization of 36312 in exponential form is:

36312 = 23×31×171×891

Now multiplying the highest exponent prime factors to calculate the LCM of 36308 and 36312.

LCM(36308,36312) = 23×31×171×291×891×3131
LCM(36308,36312) = 329604024

Factors of 36308

List of positive integer factors of 36308 that divides 36308 without a remainder.

1, 2, 4, 29, 58, 116, 313, 626, 1252, 9077, 18154, 36308

Factors of 36312

List of positive integer factors of 36312 that divides 36312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 89, 102, 136, 178, 204, 267, 356, 408, 534, 712, 1068, 1513, 2136, 3026, 4539, 6052, 9078, 12104, 18156, 36312

Least Common Multiple of 36308 and 36312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36308 and 36312, than apply into the LCM equation.

GCF(36308,36312) = 4
LCM(36308,36312) = ( 36308 × 36312) / 4
LCM(36308,36312) = 1318416096 / 4
LCM(36308,36312) = 329604024

Properties of LCM 36308 and 36312

(i) The LCM of 36312 and 36308 is associative

LCM of 36308 and 36312 = LCM of 36312 and 36308

Related Least Common Multiples of 36308

Related Least Common Multiples of 36312

Frequently Asked Questions on LCM of 36308 and 36312

1. What is the LCM of 36308 and 36312?

Answer: LCM of 36308 and 36312 is 329604024.

2. What are the Factors of 36308?

Answer: Factors of 36308 are 1, 2, 4, 29, 58, 116, 313, 626, 1252, 9077, 18154, 36308. There are 12 integers that are factors of 36308. The greatest factor of 36308 is 36308.

3. What are the Factors of 36312?

Answer: Factors of 36312 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 89, 102, 136, 178, 204, 267, 356, 408, 534, 712, 1068, 1513, 2136, 3026, 4539, 6052, 9078, 12104, 18156, 36312. There are 32 integers that are factors of 36312. The greatest factor of 36312 is 36312.

4. How to Find the LCM of 36308 and 36312?

Answer:

Least Common Multiple of 36308 and 36312 = 329604024

Step 1: Find the prime factorization of 36308

36308 = 2 x 2 x 29 x 313

Step 2: Find the prime factorization of 36312

36312 = 2 x 2 x 2 x 3 x 17 x 89

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

LCM = 329604024 = 2 x 2 x 2 x 3 x 17 x 29 x 89 x 313

Step 4: Therefore, the least common multiple of 36308 and 36312 is 329604024.