Least Common Multiple of 146348 and 146353

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

• Least Common Multiple of 146348 and 146353 by Prime method
• Least Common Multiple of 146348 and 146353 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 146348 and 146353. First we will calculate the prime factors of 146348 and 146353.

Prime Factorization of 146348

Prime factors of 146348 are 2,36587. Prime factorization of 146348 in exponential form is:

146348 = 2²×36587¹

Prime Factorization of 146353

Prime factors of 146353 are 17,8609. Prime factorization of 146353 in exponential form is:

146353 = 17¹×8609¹

Now multiplying the highest exponent prime factors to calculate the LCM of 146348 and 146353.

LCM(146348,146353) = 2²×17¹×8609¹×36587¹
LCM(146348,146353) = 21418468844

Factors of 146348

List of positive integer factors of 146348 that divides 146348 without a remainder.

1, 2, 4, 36587, 73174, 146348

Factors of 146353

List of positive integer factors of 146353 that divides 146353 without a remainder.

1, 17, 8609, 146353

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146348 and 146353, than apply into the LCM equation.

GCF(146348,146353) = 1
LCM(146348,146353) = ( 146348 × 146353) / 1
LCM(146348,146353) = 21418468844 / 1
LCM(146348,146353) = 21418468844

(i) The LCM of 146353 and 146348 is associative

LCM of 146348 and 146353 = LCM of 146353 and 146348

1. What is the LCM of 146348 and 146353?

Answer: LCM of 146348 and 146353 is 21418468844.

2. What are the Factors of 146348?

Answer: Factors of 146348 are 1, 2, 4, 36587, 73174, 146348. There are 6 integers that are factors of 146348. The greatest factor of 146348 is 146348.

3. What are the Factors of 146353?

Answer: Factors of 146353 are 1, 17, 8609, 146353. There are 4 integers that are factors of 146353. The greatest factor of 146353 is 146353.

4. How to Find the LCM of 146348 and 146353?

Answer:

Least Common Multiple of 146348 and 146353 = 21418468844

Step 1: Find the prime factorization of 146348

146348 = 2 x 2 x 36587

Step 2: Find the prime factorization of 146353

146353 = 17 x 8609

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

LCM = 21418468844 = 2 x 2 x 17 x 8609 x 36587

Step 4: Therefore, the least common multiple of 146348 and 146353 is 21418468844.