Least Common Multiple of 15190 and 15198

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 15198 the smallest integer that is 115428810 that is divisible by both numbers.

Least Common Multiple (LCM) of 15190 and 15198 is 115428810.

LCM(15190,15198) = 115428810

LCM of 15190 and 15198

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

LCM of:
and

Least Common Multiple of 15190 and 15198

LCM of 15190 and 15198 is 115428810

Least common multiple can be found by multiplying the highest exponent prime factors of 15190 and 15198. First we will calculate the prime factors of 15190 and 15198.

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 15198


2 15198
3 7599
17 2533
149 149
1

Prime factors of 15198 are 2, 3, 17,149. Prime factorization of 15198 in exponential form is:

15198 = 21×31×171×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 15190 and 15198.

LCM(15190,15198) = 21×31×51×72×171×311×1491
LCM(15190,15198) = 115428810

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 15198

List of positive integer factors of 15198 that divides 15198 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 149, 298, 447, 894, 2533, 5066, 7599, 15198

Least Common Multiple of 15190 and 15198 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 15198, than apply into the LCM equation.

GCF(15190,15198) = 2
LCM(15190,15198) = ( 15190 × 15198) / 2
LCM(15190,15198) = 230857620 / 2
LCM(15190,15198) = 115428810

Properties of LCM 15190 and 15198

(i) The LCM of 15198 and 15190 is associative

LCM of 15190 and 15198 = LCM of 15198 and 15190

Related Least Common Multiples of 15190

Related Least Common Multiples of 15198

Frequently Asked Questions on LCM of 15190 and 15198

1. What is the LCM of 15190 and 15198?

Answer: LCM of 15190 and 15198 is 115428810.

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 15198?

Answer: Factors of 15198 are 1, 2, 3, 6, 17, 34, 51, 102, 149, 298, 447, 894, 2533, 5066, 7599, 15198. There are 16 integers that are factors of 15198. The greatest factor of 15198 is 15198.

4. How to Find the LCM of 15190 and 15198?

Answer:

Least Common Multiple of 15190 and 15198 = 115428810

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 15198

15198 = 2 x 3 x 17 x 149

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

LCM = 115428810 = 2 x 3 x 5 x 7 x 7 x 17 x 31 x 149

Step 4: Therefore, the least common multiple of 15190 and 15198 is 115428810.