Least Common Multiple of 15190 and 15196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15190 and 15196 the smallest integer that is 115413620 that is divisible by both numbers.

Least Common Multiple (LCM) of 15190 and 15196 is 115413620.

LCM(15190,15196) = 115413620

LCM of 15190 and 15196

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

LCM of:
and

Least Common Multiple of 15190 and 15196

LCM of 15190 and 15196 is 115413620

Least common multiple can be found by multiplying the highest exponent prime factors of 15190 and 15196. First we will calculate the prime factors of 15190 and 15196.

Prime Factorization of 15190


2 15190
5 7595
7 1519
7 217
31 31
1

Prime factors of 15190 are 2, 5, 7,31. Prime factorization of 15190 in exponential form is:

15190 = 21×51×72×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15190 and 15196.

LCM(15190,15196) = 22×51×72×291×311×1311
LCM(15190,15196) = 115413620

Factors of 15190

List of positive integer factors of 15190 that divides 15190 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 49, 62, 70, 98, 155, 217, 245, 310, 434, 490, 1085, 1519, 2170, 3038, 7595, 15190

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

Least Common Multiple of 15190 and 15196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15190 and 15196, than apply into the LCM equation.

GCF(15190,15196) = 2
LCM(15190,15196) = ( 15190 × 15196) / 2
LCM(15190,15196) = 230827240 / 2
LCM(15190,15196) = 115413620

Properties of LCM 15190 and 15196

(i) The LCM of 15196 and 15190 is associative

LCM of 15190 and 15196 = LCM of 15196 and 15190

Related Least Common Multiples of 15190

Related Least Common Multiples of 15196

Frequently Asked Questions on LCM of 15190 and 15196

1. What is the LCM of 15190 and 15196?

Answer: LCM of 15190 and 15196 is 115413620.

2. What are the Factors of 15190?

Answer: Factors of 15190 are 1, 2, 5, 7, 10, 14, 31, 35, 49, 62, 70, 98, 155, 217, 245, 310, 434, 490, 1085, 1519, 2170, 3038, 7595, 15190. There are 24 integers that are factors of 15190. The greatest factor of 15190 is 15190.

3. 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.

4. How to Find the LCM of 15190 and 15196?

Answer:

Least Common Multiple of 15190 and 15196 = 115413620

Step 1: Find the prime factorization of 15190

15190 = 2 x 5 x 7 x 7 x 31

Step 2: Find the prime factorization of 15196

15196 = 2 x 2 x 29 x 131

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

LCM = 115413620 = 2 x 2 x 5 x 7 x 7 x 29 x 31 x 131

Step 4: Therefore, the least common multiple of 15190 and 15196 is 115413620.