Least Common Multiple of 15208 and 15212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15208 and 15212 the smallest integer that is 57836024 that is divisible by both numbers.

Least Common Multiple (LCM) of 15208 and 15212 is 57836024.

LCM(15208,15212) = 57836024

LCM of 15208 and 15212

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

LCM of:
and

Least Common Multiple of 15208 and 15212

LCM of 15208 and 15212 is 57836024

Least common multiple can be found by multiplying the highest exponent prime factors of 15208 and 15212. First we will calculate the prime factors of 15208 and 15212.

Prime Factorization of 15208


2 15208
2 7604
2 3802
1901 1901
1

Prime factors of 15208 are 2,1901. Prime factorization of 15208 in exponential form is:

15208 = 23×19011

Prime Factorization of 15212


2 15212
2 7606
3803 3803
1

Prime factors of 15212 are 2,3803. Prime factorization of 15212 in exponential form is:

15212 = 22×38031

Now multiplying the highest exponent prime factors to calculate the LCM of 15208 and 15212.

LCM(15208,15212) = 23×19011×38031
LCM(15208,15212) = 57836024

Factors of 15208

List of positive integer factors of 15208 that divides 15208 without a remainder.

1, 2, 4, 8, 1901, 3802, 7604, 15208

Factors of 15212

List of positive integer factors of 15212 that divides 15212 without a remainder.

1, 2, 4, 3803, 7606, 15212

Least Common Multiple of 15208 and 15212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15208 and 15212, than apply into the LCM equation.

GCF(15208,15212) = 4
LCM(15208,15212) = ( 15208 × 15212) / 4
LCM(15208,15212) = 231344096 / 4
LCM(15208,15212) = 57836024

Properties of LCM 15208 and 15212

(i) The LCM of 15212 and 15208 is associative

LCM of 15208 and 15212 = LCM of 15212 and 15208

Related Least Common Multiples of 15208

Related Least Common Multiples of 15212

Frequently Asked Questions on LCM of 15208 and 15212

1. What is the LCM of 15208 and 15212?

Answer: LCM of 15208 and 15212 is 57836024.

2. What are the Factors of 15208?

Answer: Factors of 15208 are 1, 2, 4, 8, 1901, 3802, 7604, 15208. There are 8 integers that are factors of 15208. The greatest factor of 15208 is 15208.

3. What are the Factors of 15212?

Answer: Factors of 15212 are 1, 2, 4, 3803, 7606, 15212. There are 6 integers that are factors of 15212. The greatest factor of 15212 is 15212.

4. How to Find the LCM of 15208 and 15212?

Answer:

Least Common Multiple of 15208 and 15212 = 57836024

Step 1: Find the prime factorization of 15208

15208 = 2 x 2 x 2 x 1901

Step 2: Find the prime factorization of 15212

15212 = 2 x 2 x 3803

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

LCM = 57836024 = 2 x 2 x 2 x 1901 x 3803

Step 4: Therefore, the least common multiple of 15208 and 15212 is 57836024.