Least Common Multiple of 47302 and 47308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 47302 and 47308 the smallest integer that is 1118881508 that is divisible by both numbers.

Least Common Multiple (LCM) of 47302 and 47308 is 1118881508.

LCM(47302,47308) = 1118881508

LCM of 47302 and 47308

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

LCM of:
and

Least Common Multiple of 47302 and 47308

LCM of 47302 and 47308 is 1118881508

Least common multiple can be found by multiplying the highest exponent prime factors of 47302 and 47308. First we will calculate the prime factors of 47302 and 47308.

Prime Factorization of 47302


2 47302
67 23651
353 353
1

Prime factors of 47302 are 2, 67,353. Prime factorization of 47302 in exponential form is:

47302 = 21×671×3531

Prime Factorization of 47308


2 47308
2 23654
11827 11827
1

Prime factors of 47308 are 2,11827. Prime factorization of 47308 in exponential form is:

47308 = 22×118271

Now multiplying the highest exponent prime factors to calculate the LCM of 47302 and 47308.

LCM(47302,47308) = 22×671×3531×118271
LCM(47302,47308) = 1118881508

Factors of 47302

List of positive integer factors of 47302 that divides 47302 without a remainder.

1, 2, 67, 134, 353, 706, 23651, 47302

Factors of 47308

List of positive integer factors of 47308 that divides 47308 without a remainder.

1, 2, 4, 11827, 23654, 47308

Least Common Multiple of 47302 and 47308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47302 and 47308, than apply into the LCM equation.

GCF(47302,47308) = 2
LCM(47302,47308) = ( 47302 × 47308) / 2
LCM(47302,47308) = 2237763016 / 2
LCM(47302,47308) = 1118881508

Properties of LCM 47302 and 47308

(i) The LCM of 47308 and 47302 is associative

LCM of 47302 and 47308 = LCM of 47308 and 47302

Related Least Common Multiples of 47302

Related Least Common Multiples of 47308

Frequently Asked Questions on LCM of 47302 and 47308

1. What is the LCM of 47302 and 47308?

Answer: LCM of 47302 and 47308 is 1118881508.

2. What are the Factors of 47302?

Answer: Factors of 47302 are 1, 2, 67, 134, 353, 706, 23651, 47302. There are 8 integers that are factors of 47302. The greatest factor of 47302 is 47302.

3. What are the Factors of 47308?

Answer: Factors of 47308 are 1, 2, 4, 11827, 23654, 47308. There are 6 integers that are factors of 47308. The greatest factor of 47308 is 47308.

4. How to Find the LCM of 47302 and 47308?

Answer:

Least Common Multiple of 47302 and 47308 = 1118881508

Step 1: Find the prime factorization of 47302

47302 = 2 x 67 x 353

Step 2: Find the prime factorization of 47308

47308 = 2 x 2 x 11827

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

LCM = 1118881508 = 2 x 2 x 67 x 353 x 11827

Step 4: Therefore, the least common multiple of 47302 and 47308 is 1118881508.