Least Common Multiple of 306422 and 306428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306422 and 306428 the smallest integer that is 46948140308 that is divisible by both numbers.

Least Common Multiple (LCM) of 306422 and 306428 is 46948140308.

LCM(306422,306428) = 46948140308

LCM of 306422 and 306428

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

LCM of:
and

Least Common Multiple of 306422 and 306428

LCM of 306422 and 306428 is 46948140308

Least common multiple can be found by multiplying the highest exponent prime factors of 306422 and 306428. First we will calculate the prime factors of 306422 and 306428.

Prime Factorization of 306422


2 306422
349 153211
439 439
1

Prime factors of 306422 are 2, 349,439. Prime factorization of 306422 in exponential form is:

306422 = 21×3491×4391

Prime Factorization of 306428


2 306428
2 153214
76607 76607
1

Prime factors of 306428 are 2,76607. Prime factorization of 306428 in exponential form is:

306428 = 22×766071

Now multiplying the highest exponent prime factors to calculate the LCM of 306422 and 306428.

LCM(306422,306428) = 22×3491×4391×766071
LCM(306422,306428) = 46948140308

Factors of 306422

List of positive integer factors of 306422 that divides 306422 without a remainder.

1, 2, 349, 439, 698, 878, 153211, 306422

Factors of 306428

List of positive integer factors of 306428 that divides 306428 without a remainder.

1, 2, 4, 76607, 153214, 306428

Least Common Multiple of 306422 and 306428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306422 and 306428, than apply into the LCM equation.

GCF(306422,306428) = 2
LCM(306422,306428) = ( 306422 × 306428) / 2
LCM(306422,306428) = 93896280616 / 2
LCM(306422,306428) = 46948140308

Properties of LCM 306422 and 306428

(i) The LCM of 306428 and 306422 is associative

LCM of 306422 and 306428 = LCM of 306428 and 306422

Related Least Common Multiples of 306422

Related Least Common Multiples of 306428

Frequently Asked Questions on LCM of 306422 and 306428

1. What is the LCM of 306422 and 306428?

Answer: LCM of 306422 and 306428 is 46948140308.

2. What are the Factors of 306422?

Answer: Factors of 306422 are 1, 2, 349, 439, 698, 878, 153211, 306422. There are 8 integers that are factors of 306422. The greatest factor of 306422 is 306422.

3. What are the Factors of 306428?

Answer: Factors of 306428 are 1, 2, 4, 76607, 153214, 306428. There are 6 integers that are factors of 306428. The greatest factor of 306428 is 306428.

4. How to Find the LCM of 306422 and 306428?

Answer:

Least Common Multiple of 306422 and 306428 = 46948140308

Step 1: Find the prime factorization of 306422

306422 = 2 x 349 x 439

Step 2: Find the prime factorization of 306428

306428 = 2 x 2 x 76607

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

LCM = 46948140308 = 2 x 2 x 349 x 439 x 76607

Step 4: Therefore, the least common multiple of 306422 and 306428 is 46948140308.