Least Common Multiple of 34219 and 34225

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

• Least Common Multiple of 34219 and 34225 by Prime method
• Least Common Multiple of 34219 and 34225 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 34219 and 34225. First we will calculate the prime factors of 34219 and 34225.

Prime Factorization of 34219

Prime factors of 34219 are 19,1801. Prime factorization of 34219 in exponential form is:

34219 = 19¹×1801¹

Prime Factorization of 34225

Prime factors of 34225 are 5,37. Prime factorization of 34225 in exponential form is:

34225 = 5²×37²

Now multiplying the highest exponent prime factors to calculate the LCM of 34219 and 34225.

LCM(34219,34225) = 5²×19¹×37²×1801¹
LCM(34219,34225) = 1171145275

Factors of 34219

List of positive integer factors of 34219 that divides 34219 without a remainder.

1, 19, 1801, 34219

Factors of 34225

List of positive integer factors of 34225 that divides 34225 without a remainder.

1, 5, 25, 37, 185, 925, 1369, 6845, 34225

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34219 and 34225, than apply into the LCM equation.

GCF(34219,34225) = 1
LCM(34219,34225) = ( 34219 × 34225) / 1
LCM(34219,34225) = 1171145275 / 1
LCM(34219,34225) = 1171145275

(i) The LCM of 34225 and 34219 is associative

LCM of 34219 and 34225 = LCM of 34225 and 34219

1. What is the LCM of 34219 and 34225?

Answer: LCM of 34219 and 34225 is 1171145275.

2. What are the Factors of 34219?

Answer: Factors of 34219 are 1, 19, 1801, 34219. There are 4 integers that are factors of 34219. The greatest factor of 34219 is 34219.

3. What are the Factors of 34225?

Answer: Factors of 34225 are 1, 5, 25, 37, 185, 925, 1369, 6845, 34225. There are 9 integers that are factors of 34225. The greatest factor of 34225 is 34225.

4. How to Find the LCM of 34219 and 34225?

Answer:

Least Common Multiple of 34219 and 34225 = 1171145275

Step 1: Find the prime factorization of 34219

34219 = 19 x 1801

Step 2: Find the prime factorization of 34225

34225 = 5 x 5 x 37 x 37

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

LCM = 1171145275 = 5 x 5 x 19 x 37 x 37 x 1801

Step 4: Therefore, the least common multiple of 34219 and 34225 is 1171145275.