Least Common Multiple of 36304 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 36304 and 36312 the smallest integer that is 164783856 that is divisible by both numbers.

Least Common Multiple (LCM) of 36304 and 36312 is 164783856.

LCM(36304,36312) = 164783856

LCM of 36304 and 36312

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

LCM of:
and

Least Common Multiple of 36304 and 36312

LCM of 36304 and 36312 is 164783856

Least common multiple can be found by multiplying the highest exponent prime factors of 36304 and 36312. First we will calculate the prime factors of 36304 and 36312.

Prime Factorization of 36304


2 36304
2 18152
2 9076
2 4538
2269 2269
1

Prime factors of 36304 are 2,2269. Prime factorization of 36304 in exponential form is:

36304 = 24×22691

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 36304 and 36312.

LCM(36304,36312) = 24×31×171×891×22691
LCM(36304,36312) = 164783856

Factors of 36304

List of positive integer factors of 36304 that divides 36304 without a remainder.

1, 2, 4, 8, 16, 2269, 4538, 9076, 18152, 36304

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 36304 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 36304 and 36312, than apply into the LCM equation.

GCF(36304,36312) = 8
LCM(36304,36312) = ( 36304 × 36312) / 8
LCM(36304,36312) = 1318270848 / 8
LCM(36304,36312) = 164783856

Properties of LCM 36304 and 36312

(i) The LCM of 36312 and 36304 is associative

LCM of 36304 and 36312 = LCM of 36312 and 36304

Related Least Common Multiples of 36304

Related Least Common Multiples of 36312

Frequently Asked Questions on LCM of 36304 and 36312

1. What is the LCM of 36304 and 36312?

Answer: LCM of 36304 and 36312 is 164783856.

2. What are the Factors of 36304?

Answer: Factors of 36304 are 1, 2, 4, 8, 16, 2269, 4538, 9076, 18152, 36304. There are 10 integers that are factors of 36304. The greatest factor of 36304 is 36304.

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 36304 and 36312?

Answer:

Least Common Multiple of 36304 and 36312 = 164783856

Step 1: Find the prime factorization of 36304

36304 = 2 x 2 x 2 x 2 x 2269

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 = 164783856 = 2 x 2 x 2 x 2 x 3 x 17 x 89 x 2269

Step 4: Therefore, the least common multiple of 36304 and 36312 is 164783856.