Least Common Multiple of 308422 and 308428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308422 and 308428 the smallest integer that is 47562990308 that is divisible by both numbers.

Least Common Multiple (LCM) of 308422 and 308428 is 47562990308.

LCM(308422,308428) = 47562990308

LCM of 308422 and 308428

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

LCM of:
and

Least Common Multiple of 308422 and 308428

LCM of 308422 and 308428 is 47562990308

Least common multiple can be found by multiplying the highest exponent prime factors of 308422 and 308428. First we will calculate the prime factors of 308422 and 308428.

Prime Factorization of 308422


2 308422
154211 154211
1

Prime factors of 308422 are 2,154211. Prime factorization of 308422 in exponential form is:

308422 = 21×1542111

Prime Factorization of 308428


2 308428
2 154214
83 77107
929 929
1

Prime factors of 308428 are 2, 83,929. Prime factorization of 308428 in exponential form is:

308428 = 22×831×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 308422 and 308428.

LCM(308422,308428) = 22×831×9291×1542111
LCM(308422,308428) = 47562990308

Factors of 308422

List of positive integer factors of 308422 that divides 308422 without a remainder.

1, 2, 154211, 308422

Factors of 308428

List of positive integer factors of 308428 that divides 308428 without a remainder.

1, 2, 4, 83, 166, 332, 929, 1858, 3716, 77107, 154214, 308428

Least Common Multiple of 308422 and 308428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308422 and 308428, than apply into the LCM equation.

GCF(308422,308428) = 2
LCM(308422,308428) = ( 308422 × 308428) / 2
LCM(308422,308428) = 95125980616 / 2
LCM(308422,308428) = 47562990308

Properties of LCM 308422 and 308428

(i) The LCM of 308428 and 308422 is associative

LCM of 308422 and 308428 = LCM of 308428 and 308422

Related Least Common Multiples of 308422

Related Least Common Multiples of 308428

Frequently Asked Questions on LCM of 308422 and 308428

1. What is the LCM of 308422 and 308428?

Answer: LCM of 308422 and 308428 is 47562990308.

2. What are the Factors of 308422?

Answer: Factors of 308422 are 1, 2, 154211, 308422. There are 4 integers that are factors of 308422. The greatest factor of 308422 is 308422.

3. What are the Factors of 308428?

Answer: Factors of 308428 are 1, 2, 4, 83, 166, 332, 929, 1858, 3716, 77107, 154214, 308428. There are 12 integers that are factors of 308428. The greatest factor of 308428 is 308428.

4. How to Find the LCM of 308422 and 308428?

Answer:

Least Common Multiple of 308422 and 308428 = 47562990308

Step 1: Find the prime factorization of 308422

308422 = 2 x 154211

Step 2: Find the prime factorization of 308428

308428 = 2 x 2 x 83 x 929

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

LCM = 47562990308 = 2 x 2 x 83 x 929 x 154211

Step 4: Therefore, the least common multiple of 308422 and 308428 is 47562990308.