Least Common Multiple of 306422 and 306426

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 306426 the smallest integer that is 46947833886 that is divisible by both numbers.

Least Common Multiple (LCM) of 306422 and 306426 is 46947833886.

LCM(306422,306426) = 46947833886

LCM of 306422 and 306426

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

LCM of:
and

Least Common Multiple of 306422 and 306426

LCM of 306422 and 306426 is 46947833886

Least common multiple can be found by multiplying the highest exponent prime factors of 306422 and 306426. First we will calculate the prime factors of 306422 and 306426.

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 306426


2 306426
3 153213
51071 51071
1

Prime factors of 306426 are 2, 3,51071. Prime factorization of 306426 in exponential form is:

306426 = 21×31×510711

Now multiplying the highest exponent prime factors to calculate the LCM of 306422 and 306426.

LCM(306422,306426) = 21×31×3491×4391×510711
LCM(306422,306426) = 46947833886

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 306426

List of positive integer factors of 306426 that divides 306426 without a remainder.

1, 2, 3, 6, 51071, 102142, 153213, 306426

Least Common Multiple of 306422 and 306426 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 306426, than apply into the LCM equation.

GCF(306422,306426) = 2
LCM(306422,306426) = ( 306422 × 306426) / 2
LCM(306422,306426) = 93895667772 / 2
LCM(306422,306426) = 46947833886

Properties of LCM 306422 and 306426

(i) The LCM of 306426 and 306422 is associative

LCM of 306422 and 306426 = LCM of 306426 and 306422

Related Least Common Multiples of 306422

Related Least Common Multiples of 306426

Frequently Asked Questions on LCM of 306422 and 306426

1. What is the LCM of 306422 and 306426?

Answer: LCM of 306422 and 306426 is 46947833886.

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 306426?

Answer: Factors of 306426 are 1, 2, 3, 6, 51071, 102142, 153213, 306426. There are 8 integers that are factors of 306426. The greatest factor of 306426 is 306426.

4. How to Find the LCM of 306422 and 306426?

Answer:

Least Common Multiple of 306422 and 306426 = 46947833886

Step 1: Find the prime factorization of 306422

306422 = 2 x 349 x 439

Step 2: Find the prime factorization of 306426

306426 = 2 x 3 x 51071

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

LCM = 46947833886 = 2 x 3 x 349 x 439 x 51071

Step 4: Therefore, the least common multiple of 306422 and 306426 is 46947833886.