Least Common Multiple of 306438 and 306446

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 306446 the smallest integer that is 46953349674 that is divisible by both numbers.

Least Common Multiple (LCM) of 306438 and 306446 is 46953349674.

LCM(306438,306446) = 46953349674

LCM of 306438 and 306446

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

LCM of:
and

Least Common Multiple of 306438 and 306446

LCM of 306438 and 306446 is 46953349674

Least common multiple can be found by multiplying the highest exponent prime factors of 306438 and 306446. First we will calculate the prime factors of 306438 and 306446.

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 306446


2 306446
7 153223
7 21889
53 3127
59 59
1

Prime factors of 306446 are 2, 7, 53,59. Prime factorization of 306446 in exponential form is:

306446 = 21×72×531×591

Now multiplying the highest exponent prime factors to calculate the LCM of 306438 and 306446.

LCM(306438,306446) = 21×31×72×111×531×591×46431
LCM(306438,306446) = 46953349674

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 306446

List of positive integer factors of 306446 that divides 306446 without a remainder.

1, 2, 7, 14, 49, 53, 59, 98, 106, 118, 371, 413, 742, 826, 2597, 2891, 3127, 5194, 5782, 6254, 21889, 43778, 153223, 306446

Least Common Multiple of 306438 and 306446 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 306446, than apply into the LCM equation.

GCF(306438,306446) = 2
LCM(306438,306446) = ( 306438 × 306446) / 2
LCM(306438,306446) = 93906699348 / 2
LCM(306438,306446) = 46953349674

Properties of LCM 306438 and 306446

(i) The LCM of 306446 and 306438 is associative

LCM of 306438 and 306446 = LCM of 306446 and 306438

Related Least Common Multiples of 306438

Related Least Common Multiples of 306446

Frequently Asked Questions on LCM of 306438 and 306446

1. What is the LCM of 306438 and 306446?

Answer: LCM of 306438 and 306446 is 46953349674.

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 306446?

Answer: Factors of 306446 are 1, 2, 7, 14, 49, 53, 59, 98, 106, 118, 371, 413, 742, 826, 2597, 2891, 3127, 5194, 5782, 6254, 21889, 43778, 153223, 306446. There are 24 integers that are factors of 306446. The greatest factor of 306446 is 306446.

4. How to Find the LCM of 306438 and 306446?

Answer:

Least Common Multiple of 306438 and 306446 = 46953349674

Step 1: Find the prime factorization of 306438

306438 = 2 x 3 x 11 x 4643

Step 2: Find the prime factorization of 306446

306446 = 2 x 7 x 7 x 53 x 59

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

LCM = 46953349674 = 2 x 3 x 7 x 7 x 11 x 53 x 59 x 4643

Step 4: Therefore, the least common multiple of 306438 and 306446 is 46953349674.