Least Common Multiple of 14300 and 14308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 14300 and 14308 the smallest integer that is 51151100 that is divisible by both numbers.

Least Common Multiple (LCM) of 14300 and 14308 is 51151100.

LCM(14300,14308) = 51151100

LCM of 14300 and 14308

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

LCM of:
and

Least Common Multiple of 14300 and 14308

LCM of 14300 and 14308 is 51151100

Least common multiple can be found by multiplying the highest exponent prime factors of 14300 and 14308. First we will calculate the prime factors of 14300 and 14308.

Prime Factorization of 14300


2 14300
2 7150
5 3575
5 715
11 143
13 13
1

Prime factors of 14300 are 2, 5, 11,13. Prime factorization of 14300 in exponential form is:

14300 = 22×52×111×131

Prime Factorization of 14308


2 14308
2 7154
7 3577
7 511
73 73
1

Prime factors of 14308 are 2, 7,73. Prime factorization of 14308 in exponential form is:

14308 = 22×72×731

Now multiplying the highest exponent prime factors to calculate the LCM of 14300 and 14308.

LCM(14300,14308) = 22×52×72×111×131×731
LCM(14300,14308) = 51151100

Factors of 14300

List of positive integer factors of 14300 that divides 14300 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 25, 26, 44, 50, 52, 55, 65, 100, 110, 130, 143, 220, 260, 275, 286, 325, 550, 572, 650, 715, 1100, 1300, 1430, 2860, 3575, 7150, 14300

Factors of 14308

List of positive integer factors of 14308 that divides 14308 without a remainder.

1, 2, 4, 7, 14, 28, 49, 73, 98, 146, 196, 292, 511, 1022, 2044, 3577, 7154, 14308

Least Common Multiple of 14300 and 14308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14300 and 14308, than apply into the LCM equation.

GCF(14300,14308) = 4
LCM(14300,14308) = ( 14300 × 14308) / 4
LCM(14300,14308) = 204604400 / 4
LCM(14300,14308) = 51151100

Properties of LCM 14300 and 14308

(i) The LCM of 14308 and 14300 is associative

LCM of 14300 and 14308 = LCM of 14308 and 14300

Related Least Common Multiples of 14300

Related Least Common Multiples of 14308

Frequently Asked Questions on LCM of 14300 and 14308

1. What is the LCM of 14300 and 14308?

Answer: LCM of 14300 and 14308 is 51151100.

2. What are the Factors of 14300?

Answer: Factors of 14300 are 1, 2, 4, 5, 10, 11, 13, 20, 22, 25, 26, 44, 50, 52, 55, 65, 100, 110, 130, 143, 220, 260, 275, 286, 325, 550, 572, 650, 715, 1100, 1300, 1430, 2860, 3575, 7150, 14300. There are 36 integers that are factors of 14300. The greatest factor of 14300 is 14300.

3. What are the Factors of 14308?

Answer: Factors of 14308 are 1, 2, 4, 7, 14, 28, 49, 73, 98, 146, 196, 292, 511, 1022, 2044, 3577, 7154, 14308. There are 18 integers that are factors of 14308. The greatest factor of 14308 is 14308.

4. How to Find the LCM of 14300 and 14308?

Answer:

Least Common Multiple of 14300 and 14308 = 51151100

Step 1: Find the prime factorization of 14300

14300 = 2 x 2 x 5 x 5 x 11 x 13

Step 2: Find the prime factorization of 14308

14308 = 2 x 2 x 7 x 7 x 73

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

LCM = 51151100 = 2 x 2 x 5 x 5 x 7 x 7 x 11 x 13 x 73

Step 4: Therefore, the least common multiple of 14300 and 14308 is 51151100.