Least Common Multiple of 35212 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 35212 and 35218 the smallest integer that is 620048108 that is divisible by both numbers.

Least Common Multiple (LCM) of 35212 and 35218 is 620048108.

LCM(35212,35218) = 620048108

LCM of 35212 and 35218

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

LCM of:
and

Least Common Multiple of 35212 and 35218

LCM of 35212 and 35218 is 620048108

Least common multiple can be found by multiplying the highest exponent prime factors of 35212 and 35218. First we will calculate the prime factors of 35212 and 35218.

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 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 35212 and 35218.

LCM(35212,35218) = 22×88031×176091
LCM(35212,35218) = 620048108

Factors of 35212

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

1, 2, 4, 8803, 17606, 35212

Factors of 35218

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

1, 2, 17609, 35218

Least Common Multiple of 35212 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 35212 and 35218, than apply into the LCM equation.

GCF(35212,35218) = 2
LCM(35212,35218) = ( 35212 × 35218) / 2
LCM(35212,35218) = 1240096216 / 2
LCM(35212,35218) = 620048108

Properties of LCM 35212 and 35218

(i) The LCM of 35218 and 35212 is associative

LCM of 35212 and 35218 = LCM of 35218 and 35212

Related Least Common Multiples of 35212

Related Least Common Multiples of 35218

Frequently Asked Questions on LCM of 35212 and 35218

1. What is the LCM of 35212 and 35218?

Answer: LCM of 35212 and 35218 is 620048108.

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 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 35212 and 35218?

Answer:

Least Common Multiple of 35212 and 35218 = 620048108

Step 1: Find the prime factorization of 35212

35212 = 2 x 2 x 8803

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 = 620048108 = 2 x 2 x 8803 x 17609

Step 4: Therefore, the least common multiple of 35212 and 35218 is 620048108.