Least Common Multiple of 36308 and 36314

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 36314 the smallest integer that is 659244356 that is divisible by both numbers.

Least Common Multiple (LCM) of 36308 and 36314 is 659244356.

LCM(36308,36314) = 659244356

LCM of 36308 and 36314

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

LCM of:
and

Least Common Multiple of 36308 and 36314

LCM of 36308 and 36314 is 659244356

Least common multiple can be found by multiplying the highest exponent prime factors of 36308 and 36314. First we will calculate the prime factors of 36308 and 36314.

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 36314


2 36314
67 18157
271 271
1

Prime factors of 36314 are 2, 67,271. Prime factorization of 36314 in exponential form is:

36314 = 21×671×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 36308 and 36314.

LCM(36308,36314) = 22×291×671×2711×3131
LCM(36308,36314) = 659244356

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 36314

List of positive integer factors of 36314 that divides 36314 without a remainder.

1, 2, 67, 134, 271, 542, 18157, 36314

Least Common Multiple of 36308 and 36314 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 36314, than apply into the LCM equation.

GCF(36308,36314) = 2
LCM(36308,36314) = ( 36308 × 36314) / 2
LCM(36308,36314) = 1318488712 / 2
LCM(36308,36314) = 659244356

Properties of LCM 36308 and 36314

(i) The LCM of 36314 and 36308 is associative

LCM of 36308 and 36314 = LCM of 36314 and 36308

Related Least Common Multiples of 36308

Related Least Common Multiples of 36314

Frequently Asked Questions on LCM of 36308 and 36314

1. What is the LCM of 36308 and 36314?

Answer: LCM of 36308 and 36314 is 659244356.

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 36314?

Answer: Factors of 36314 are 1, 2, 67, 134, 271, 542, 18157, 36314. There are 8 integers that are factors of 36314. The greatest factor of 36314 is 36314.

4. How to Find the LCM of 36308 and 36314?

Answer:

Least Common Multiple of 36308 and 36314 = 659244356

Step 1: Find the prime factorization of 36308

36308 = 2 x 2 x 29 x 313

Step 2: Find the prime factorization of 36314

36314 = 2 x 67 x 271

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

LCM = 659244356 = 2 x 2 x 29 x 67 x 271 x 313

Step 4: Therefore, the least common multiple of 36308 and 36314 is 659244356.