Least Common Multiple of 35212 and 35217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35212 and 35217 the smallest integer that is 1240061004 that is divisible by both numbers.

Least Common Multiple (LCM) of 35212 and 35217 is 1240061004.

LCM(35212,35217) = 1240061004

LCM of 35212 and 35217

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

LCM of:
and

Least Common Multiple of 35212 and 35217

LCM of 35212 and 35217 is 1240061004

Least common multiple can be found by multiplying the highest exponent prime factors of 35212 and 35217. First we will calculate the prime factors of 35212 and 35217.

Prime Factorization of 35212


2 35212
2 17606
8803 8803
1

Prime factors of 35212 are 2,8803. Prime factorization of 35212 in exponential form is:

35212 = 22×88031

Prime Factorization of 35217


3 35217
3 11739
7 3913
13 559
43 43
1

Prime factors of 35217 are 3, 7, 13,43. Prime factorization of 35217 in exponential form is:

35217 = 32×71×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 35212 and 35217.

LCM(35212,35217) = 22×32×71×131×431×88031
LCM(35212,35217) = 1240061004

Factors of 35212

List of positive integer factors of 35212 that divides 35212 without a remainder.

1, 2, 4, 8803, 17606, 35212

Factors of 35217

List of positive integer factors of 35217 that divides 35217 without a remainder.

1, 3, 7, 9, 13, 21, 39, 43, 63, 91, 117, 129, 273, 301, 387, 559, 819, 903, 1677, 2709, 3913, 5031, 11739, 35217

Least Common Multiple of 35212 and 35217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35212 and 35217, than apply into the LCM equation.

GCF(35212,35217) = 1
LCM(35212,35217) = ( 35212 × 35217) / 1
LCM(35212,35217) = 1240061004 / 1
LCM(35212,35217) = 1240061004

Properties of LCM 35212 and 35217

(i) The LCM of 35217 and 35212 is associative

LCM of 35212 and 35217 = LCM of 35217 and 35212

Related Least Common Multiples of 35212

Related Least Common Multiples of 35217

Frequently Asked Questions on LCM of 35212 and 35217

1. What is the LCM of 35212 and 35217?

Answer: LCM of 35212 and 35217 is 1240061004.

2. What are the Factors of 35212?

Answer: Factors of 35212 are 1, 2, 4, 8803, 17606, 35212. There are 6 integers that are factors of 35212. The greatest factor of 35212 is 35212.

3. What are the Factors of 35217?

Answer: Factors of 35217 are 1, 3, 7, 9, 13, 21, 39, 43, 63, 91, 117, 129, 273, 301, 387, 559, 819, 903, 1677, 2709, 3913, 5031, 11739, 35217. There are 24 integers that are factors of 35217. The greatest factor of 35217 is 35217.

4. How to Find the LCM of 35212 and 35217?

Answer:

Least Common Multiple of 35212 and 35217 = 1240061004

Step 1: Find the prime factorization of 35212

35212 = 2 x 2 x 8803

Step 2: Find the prime factorization of 35217

35217 = 3 x 3 x 7 x 13 x 43

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

LCM = 1240061004 = 2 x 2 x 3 x 3 x 7 x 13 x 43 x 8803

Step 4: Therefore, the least common multiple of 35212 and 35217 is 1240061004.