Least Common Multiple of 15196 and 15204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15196 and 15204 the smallest integer that is 57759996 that is divisible by both numbers.

Least Common Multiple (LCM) of 15196 and 15204 is 57759996.

LCM(15196,15204) = 57759996

LCM of 15196 and 15204

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

LCM of:
and

Least Common Multiple of 15196 and 15204

LCM of 15196 and 15204 is 57759996

Least common multiple can be found by multiplying the highest exponent prime factors of 15196 and 15204. First we will calculate the prime factors of 15196 and 15204.

Prime Factorization of 15196


2 15196
2 7598
29 3799
131 131
1

Prime factors of 15196 are 2, 29,131. Prime factorization of 15196 in exponential form is:

15196 = 22×291×1311

Prime Factorization of 15204


2 15204
2 7602
3 3801
7 1267
181 181
1

Prime factors of 15204 are 2, 3, 7,181. Prime factorization of 15204 in exponential form is:

15204 = 22×31×71×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 15196 and 15204.

LCM(15196,15204) = 22×31×71×291×1311×1811
LCM(15196,15204) = 57759996

Factors of 15196

List of positive integer factors of 15196 that divides 15196 without a remainder.

1, 2, 4, 29, 58, 116, 131, 262, 524, 3799, 7598, 15196

Factors of 15204

List of positive integer factors of 15204 that divides 15204 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 181, 362, 543, 724, 1086, 1267, 2172, 2534, 3801, 5068, 7602, 15204

Least Common Multiple of 15196 and 15204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15196 and 15204, than apply into the LCM equation.

GCF(15196,15204) = 4
LCM(15196,15204) = ( 15196 × 15204) / 4
LCM(15196,15204) = 231039984 / 4
LCM(15196,15204) = 57759996

Properties of LCM 15196 and 15204

(i) The LCM of 15204 and 15196 is associative

LCM of 15196 and 15204 = LCM of 15204 and 15196

Related Least Common Multiples of 15196

Related Least Common Multiples of 15204

Frequently Asked Questions on LCM of 15196 and 15204

1. What is the LCM of 15196 and 15204?

Answer: LCM of 15196 and 15204 is 57759996.

2. What are the Factors of 15196?

Answer: Factors of 15196 are 1, 2, 4, 29, 58, 116, 131, 262, 524, 3799, 7598, 15196. There are 12 integers that are factors of 15196. The greatest factor of 15196 is 15196.

3. What are the Factors of 15204?

Answer: Factors of 15204 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 181, 362, 543, 724, 1086, 1267, 2172, 2534, 3801, 5068, 7602, 15204. There are 24 integers that are factors of 15204. The greatest factor of 15204 is 15204.

4. How to Find the LCM of 15196 and 15204?

Answer:

Least Common Multiple of 15196 and 15204 = 57759996

Step 1: Find the prime factorization of 15196

15196 = 2 x 2 x 29 x 131

Step 2: Find the prime factorization of 15204

15204 = 2 x 2 x 3 x 7 x 181

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

LCM = 57759996 = 2 x 2 x 3 x 7 x 29 x 131 x 181

Step 4: Therefore, the least common multiple of 15196 and 15204 is 57759996.