Least Common Multiple of 15195 and 15202

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

• Least Common Multiple of 15195 and 15202 by Prime method
• Least Common Multiple of 15195 and 15202 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 15195 and 15202. First we will calculate the prime factors of 15195 and 15202.

Prime Factorization of 15195

Prime factors of 15195 are 3, 5,1013. Prime factorization of 15195 in exponential form is:

15195 = 3¹×5¹×1013¹

Prime Factorization of 15202

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 15195 and 15202.

LCM(15195,15202) = 2¹×3¹×5¹×11¹×691¹×1013¹
LCM(15195,15202) = 230994390

Factors of 15195

List of positive integer factors of 15195 that divides 15195 without a remainder.

1, 3, 5, 15, 1013, 3039, 5065, 15195

Factors of 15202

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15195 and 15202, than apply into the LCM equation.

GCF(15195,15202) = 1
LCM(15195,15202) = ( 15195 × 15202) / 1
LCM(15195,15202) = 230994390 / 1
LCM(15195,15202) = 230994390

(i) The LCM of 15202 and 15195 is associative

LCM of 15195 and 15202 = LCM of 15202 and 15195

1. What is the LCM of 15195 and 15202?

Answer: LCM of 15195 and 15202 is 230994390.

2. What are the Factors of 15195?

Answer: Factors of 15195 are 1, 3, 5, 15, 1013, 3039, 5065, 15195. There are 8 integers that are factors of 15195. The greatest factor of 15195 is 15195.

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 15195 and 15202?

Answer:

Least Common Multiple of 15195 and 15202 = 230994390

Step 1: Find the prime factorization of 15195

15195 = 3 x 5 x 1013

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 = 230994390 = 2 x 3 x 5 x 11 x 691 x 1013

Step 4: Therefore, the least common multiple of 15195 and 15202 is 230994390.