Least Common Multiple of 306438 and 306444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306438 and 306444 the smallest integer that is 15651014412 that is divisible by both numbers.

Least Common Multiple (LCM) of 306438 and 306444 is 15651014412.

LCM(306438,306444) = 15651014412

LCM of 306438 and 306444

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

LCM of:
and

Least Common Multiple of 306438 and 306444

LCM of 306438 and 306444 is 15651014412

Least common multiple can be found by multiplying the highest exponent prime factors of 306438 and 306444. First we will calculate the prime factors of 306438 and 306444.

Prime Factorization of 306438


2 306438
3 153219
11 51073
4643 4643
1

Prime factors of 306438 are 2, 3, 11,4643. Prime factorization of 306438 in exponential form is:

306438 = 21×31×111×46431

Prime Factorization of 306444


2 306444
2 153222
3 76611
25537 25537
1

Prime factors of 306444 are 2, 3,25537. Prime factorization of 306444 in exponential form is:

306444 = 22×31×255371

Now multiplying the highest exponent prime factors to calculate the LCM of 306438 and 306444.

LCM(306438,306444) = 22×31×111×46431×255371
LCM(306438,306444) = 15651014412

Factors of 306438

List of positive integer factors of 306438 that divides 306438 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 4643, 9286, 13929, 27858, 51073, 102146, 153219, 306438

Factors of 306444

List of positive integer factors of 306444 that divides 306444 without a remainder.

1, 2, 3, 4, 6, 12, 25537, 51074, 76611, 102148, 153222, 306444

Least Common Multiple of 306438 and 306444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306438 and 306444, than apply into the LCM equation.

GCF(306438,306444) = 6
LCM(306438,306444) = ( 306438 × 306444) / 6
LCM(306438,306444) = 93906086472 / 6
LCM(306438,306444) = 15651014412

Properties of LCM 306438 and 306444

(i) The LCM of 306444 and 306438 is associative

LCM of 306438 and 306444 = LCM of 306444 and 306438

Related Least Common Multiples of 306438

Related Least Common Multiples of 306444

Frequently Asked Questions on LCM of 306438 and 306444

1. What is the LCM of 306438 and 306444?

Answer: LCM of 306438 and 306444 is 15651014412.

2. What are the Factors of 306438?

Answer: Factors of 306438 are 1, 2, 3, 6, 11, 22, 33, 66, 4643, 9286, 13929, 27858, 51073, 102146, 153219, 306438. There are 16 integers that are factors of 306438. The greatest factor of 306438 is 306438.

3. What are the Factors of 306444?

Answer: Factors of 306444 are 1, 2, 3, 4, 6, 12, 25537, 51074, 76611, 102148, 153222, 306444. There are 12 integers that are factors of 306444. The greatest factor of 306444 is 306444.

4. How to Find the LCM of 306438 and 306444?

Answer:

Least Common Multiple of 306438 and 306444 = 15651014412

Step 1: Find the prime factorization of 306438

306438 = 2 x 3 x 11 x 4643

Step 2: Find the prime factorization of 306444

306444 = 2 x 2 x 3 x 25537

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

LCM = 15651014412 = 2 x 2 x 3 x 11 x 4643 x 25537

Step 4: Therefore, the least common multiple of 306438 and 306444 is 15651014412.