Least Common Multiple of 15194 and 15202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15194 and 15202 the smallest integer that is 115489594 that is divisible by both numbers.

Least Common Multiple (LCM) of 15194 and 15202 is 115489594.

LCM(15194,15202) = 115489594

LCM of 15194 and 15202

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

LCM of:
and

Least Common Multiple of 15194 and 15202

LCM of 15194 and 15202 is 115489594

Least common multiple can be found by multiplying the highest exponent prime factors of 15194 and 15202. First we will calculate the prime factors of 15194 and 15202.

Prime Factorization of 15194


2 15194
71 7597
107 107
1

Prime factors of 15194 are 2, 71,107. Prime factorization of 15194 in exponential form is:

15194 = 21×711×1071

Prime Factorization of 15202


2 15202
11 7601
691 691
1

Prime factors of 15202 are 2, 11,691. Prime factorization of 15202 in exponential form is:

15202 = 21×111×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 15194 and 15202.

LCM(15194,15202) = 21×111×711×1071×6911
LCM(15194,15202) = 115489594

Factors of 15194

List of positive integer factors of 15194 that divides 15194 without a remainder.

1, 2, 71, 107, 142, 214, 7597, 15194

Factors of 15202

List of positive integer factors of 15202 that divides 15202 without a remainder.

1, 2, 11, 22, 691, 1382, 7601, 15202

Least Common Multiple of 15194 and 15202 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15194 and 15202, than apply into the LCM equation.

GCF(15194,15202) = 2
LCM(15194,15202) = ( 15194 × 15202) / 2
LCM(15194,15202) = 230979188 / 2
LCM(15194,15202) = 115489594

Properties of LCM 15194 and 15202

(i) The LCM of 15202 and 15194 is associative

LCM of 15194 and 15202 = LCM of 15202 and 15194

Related Least Common Multiples of 15194

Related Least Common Multiples of 15202

Frequently Asked Questions on LCM of 15194 and 15202

1. What is the LCM of 15194 and 15202?

Answer: LCM of 15194 and 15202 is 115489594.

2. What are the Factors of 15194?

Answer: Factors of 15194 are 1, 2, 71, 107, 142, 214, 7597, 15194. There are 8 integers that are factors of 15194. The greatest factor of 15194 is 15194.

3. What are the Factors of 15202?

Answer: Factors of 15202 are 1, 2, 11, 22, 691, 1382, 7601, 15202. There are 8 integers that are factors of 15202. The greatest factor of 15202 is 15202.

4. How to Find the LCM of 15194 and 15202?

Answer:

Least Common Multiple of 15194 and 15202 = 115489594

Step 1: Find the prime factorization of 15194

15194 = 2 x 71 x 107

Step 2: Find the prime factorization of 15202

15202 = 2 x 11 x 691

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

LCM = 115489594 = 2 x 11 x 71 x 107 x 691

Step 4: Therefore, the least common multiple of 15194 and 15202 is 115489594.