Least Common Multiple of 35214 and 35218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 35214 and 35218 the smallest integer that is 620083326 that is divisible by both numbers.

Least Common Multiple (LCM) of 35214 and 35218 is 620083326.

LCM(35214,35218) = 620083326

LCM of 35214 and 35218

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

LCM of:
and

Least Common Multiple of 35214 and 35218

LCM of 35214 and 35218 is 620083326

Least common multiple can be found by multiplying the highest exponent prime factors of 35214 and 35218. First we will calculate the prime factors of 35214 and 35218.

Prime Factorization of 35214


2 35214
3 17607
5869 5869
1

Prime factors of 35214 are 2, 3,5869. Prime factorization of 35214 in exponential form is:

35214 = 21×31×58691

Prime Factorization of 35218


2 35218
17609 17609
1

Prime factors of 35218 are 2,17609. Prime factorization of 35218 in exponential form is:

35218 = 21×176091

Now multiplying the highest exponent prime factors to calculate the LCM of 35214 and 35218.

LCM(35214,35218) = 21×31×58691×176091
LCM(35214,35218) = 620083326

Factors of 35214

List of positive integer factors of 35214 that divides 35214 without a remainder.

1, 2, 3, 6, 5869, 11738, 17607, 35214

Factors of 35218

List of positive integer factors of 35218 that divides 35218 without a remainder.

1, 2, 17609, 35218

Least Common Multiple of 35214 and 35218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35214 and 35218, than apply into the LCM equation.

GCF(35214,35218) = 2
LCM(35214,35218) = ( 35214 × 35218) / 2
LCM(35214,35218) = 1240166652 / 2
LCM(35214,35218) = 620083326

Properties of LCM 35214 and 35218

(i) The LCM of 35218 and 35214 is associative

LCM of 35214 and 35218 = LCM of 35218 and 35214

Related Least Common Multiples of 35214

Related Least Common Multiples of 35218

Frequently Asked Questions on LCM of 35214 and 35218

1. What is the LCM of 35214 and 35218?

Answer: LCM of 35214 and 35218 is 620083326.

2. What are the Factors of 35214?

Answer: Factors of 35214 are 1, 2, 3, 6, 5869, 11738, 17607, 35214. There are 8 integers that are factors of 35214. The greatest factor of 35214 is 35214.

3. What are the Factors of 35218?

Answer: Factors of 35218 are 1, 2, 17609, 35218. There are 4 integers that are factors of 35218. The greatest factor of 35218 is 35218.

4. How to Find the LCM of 35214 and 35218?

Answer:

Least Common Multiple of 35214 and 35218 = 620083326

Step 1: Find the prime factorization of 35214

35214 = 2 x 3 x 5869

Step 2: Find the prime factorization of 35218

35218 = 2 x 17609

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

LCM = 620083326 = 2 x 3 x 5869 x 17609

Step 4: Therefore, the least common multiple of 35214 and 35218 is 620083326.