Least Common Multiple of 8212 and 8217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8212 and 8217 the smallest integer that is 67478004 that is divisible by both numbers.

Least Common Multiple (LCM) of 8212 and 8217 is 67478004.

LCM(8212,8217) = 67478004

LCM of 8212 and 8217

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

LCM of:
and

Least Common Multiple of 8212 and 8217

LCM of 8212 and 8217 is 67478004

Least common multiple can be found by multiplying the highest exponent prime factors of 8212 and 8217. First we will calculate the prime factors of 8212 and 8217.

Prime Factorization of 8212


2 8212
2 4106
2053 2053
1

Prime factors of 8212 are 2,2053. Prime factorization of 8212 in exponential form is:

8212 = 22×20531

Prime Factorization of 8217


3 8217
3 2739
11 913
83 83
1

Prime factors of 8217 are 3, 11,83. Prime factorization of 8217 in exponential form is:

8217 = 32×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8212 and 8217.

LCM(8212,8217) = 22×32×111×831×20531
LCM(8212,8217) = 67478004

Factors of 8212

List of positive integer factors of 8212 that divides 8212 without a remainder.

1, 2, 4, 2053, 4106, 8212

Factors of 8217

List of positive integer factors of 8217 that divides 8217 without a remainder.

1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217

Least Common Multiple of 8212 and 8217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8212 and 8217, than apply into the LCM equation.

GCF(8212,8217) = 1
LCM(8212,8217) = ( 8212 × 8217) / 1
LCM(8212,8217) = 67478004 / 1
LCM(8212,8217) = 67478004

Properties of LCM 8212 and 8217

(i) The LCM of 8217 and 8212 is associative

LCM of 8212 and 8217 = LCM of 8217 and 8212

Related Least Common Multiples of 8212

Related Least Common Multiples of 8217

Frequently Asked Questions on LCM of 8212 and 8217

1. What is the LCM of 8212 and 8217?

Answer: LCM of 8212 and 8217 is 67478004.

2. What are the Factors of 8212?

Answer: Factors of 8212 are 1, 2, 4, 2053, 4106, 8212. There are 6 integers that are factors of 8212. The greatest factor of 8212 is 8212.

3. What are the Factors of 8217?

Answer: Factors of 8217 are 1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739, 8217. There are 12 integers that are factors of 8217. The greatest factor of 8217 is 8217.

4. How to Find the LCM of 8212 and 8217?

Answer:

Least Common Multiple of 8212 and 8217 = 67478004

Step 1: Find the prime factorization of 8212

8212 = 2 x 2 x 2053

Step 2: Find the prime factorization of 8217

8217 = 3 x 3 x 11 x 83

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

LCM = 67478004 = 2 x 2 x 3 x 3 x 11 x 83 x 2053

Step 4: Therefore, the least common multiple of 8212 and 8217 is 67478004.