Least Common Multiple of 36301 and 36304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36301 and 36304 the smallest integer that is 1317871504 that is divisible by both numbers.

Least Common Multiple (LCM) of 36301 and 36304 is 1317871504.

LCM(36301,36304) = 1317871504

LCM of 36301 and 36304

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

LCM of:
and

Least Common Multiple of 36301 and 36304

LCM of 36301 and 36304 is 1317871504

Least common multiple can be found by multiplying the highest exponent prime factors of 36301 and 36304. First we will calculate the prime factors of 36301 and 36304.

Prime Factorization of 36301


31 36301
1171 1171
1

Prime factors of 36301 are 31,1171. Prime factorization of 36301 in exponential form is:

36301 = 311×11711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 36301 and 36304.

LCM(36301,36304) = 24×311×11711×22691
LCM(36301,36304) = 1317871504

Factors of 36301

List of positive integer factors of 36301 that divides 36301 without a remainder.

1, 31, 1171, 36301

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

Least Common Multiple of 36301 and 36304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36301 and 36304, than apply into the LCM equation.

GCF(36301,36304) = 1
LCM(36301,36304) = ( 36301 × 36304) / 1
LCM(36301,36304) = 1317871504 / 1
LCM(36301,36304) = 1317871504

Properties of LCM 36301 and 36304

(i) The LCM of 36304 and 36301 is associative

LCM of 36301 and 36304 = LCM of 36304 and 36301

Related Least Common Multiples of 36301

Related Least Common Multiples of 36304

Frequently Asked Questions on LCM of 36301 and 36304

1. What is the LCM of 36301 and 36304?

Answer: LCM of 36301 and 36304 is 1317871504.

2. What are the Factors of 36301?

Answer: Factors of 36301 are 1, 31, 1171, 36301. There are 4 integers that are factors of 36301. The greatest factor of 36301 is 36301.

3. 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.

4. How to Find the LCM of 36301 and 36304?

Answer:

Least Common Multiple of 36301 and 36304 = 1317871504

Step 1: Find the prime factorization of 36301

36301 = 31 x 1171

Step 2: Find the prime factorization of 36304

36304 = 2 x 2 x 2 x 2 x 2269

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

LCM = 1317871504 = 2 x 2 x 2 x 2 x 31 x 1171 x 2269

Step 4: Therefore, the least common multiple of 36301 and 36304 is 1317871504.