Least Common Multiple of 9195 and 9202

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

• Least Common Multiple of 9195 and 9202 by Prime method
• Least Common Multiple of 9195 and 9202 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 9195 and 9202. First we will calculate the prime factors of 9195 and 9202.

Prime Factorization of 9195

Prime factors of 9195 are 3, 5,613. Prime factorization of 9195 in exponential form is:

9195 = 3¹×5¹×613¹

Prime Factorization of 9202

Prime factors of 9202 are 2, 43,107. Prime factorization of 9202 in exponential form is:

9202 = 2¹×43¹×107¹

Now multiplying the highest exponent prime factors to calculate the LCM of 9195 and 9202.

LCM(9195,9202) = 2¹×3¹×5¹×43¹×107¹×613¹
LCM(9195,9202) = 84612390

Factors of 9195

List of positive integer factors of 9195 that divides 9195 without a remainder.

1, 3, 5, 15, 613, 1839, 3065, 9195

Factors of 9202

List of positive integer factors of 9202 that divides 9202 without a remainder.

1, 2, 43, 86, 107, 214, 4601, 9202

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9195 and 9202, than apply into the LCM equation.

GCF(9195,9202) = 1
LCM(9195,9202) = ( 9195 × 9202) / 1
LCM(9195,9202) = 84612390 / 1
LCM(9195,9202) = 84612390

(i) The LCM of 9202 and 9195 is associative

LCM of 9195 and 9202 = LCM of 9202 and 9195

1. What is the LCM of 9195 and 9202?

Answer: LCM of 9195 and 9202 is 84612390.

2. What are the Factors of 9195?

Answer: Factors of 9195 are 1, 3, 5, 15, 613, 1839, 3065, 9195. There are 8 integers that are factors of 9195. The greatest factor of 9195 is 9195.

3. What are the Factors of 9202?

Answer: Factors of 9202 are 1, 2, 43, 86, 107, 214, 4601, 9202. There are 8 integers that are factors of 9202. The greatest factor of 9202 is 9202.

4. How to Find the LCM of 9195 and 9202?

Answer:

Least Common Multiple of 9195 and 9202 = 84612390

Step 1: Find the prime factorization of 9195

9195 = 3 x 5 x 613

Step 2: Find the prime factorization of 9202

9202 = 2 x 43 x 107

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

LCM = 84612390 = 2 x 3 x 5 x 43 x 107 x 613

Step 4: Therefore, the least common multiple of 9195 and 9202 is 84612390.