Least Common Multiple of 309442 and 309446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309442 and 309446 the smallest integer that is 47877794566 that is divisible by both numbers.

Least Common Multiple (LCM) of 309442 and 309446 is 47877794566.

LCM(309442,309446) = 47877794566

LCM of 309442 and 309446

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

LCM of:
and

Least Common Multiple of 309442 and 309446

LCM of 309442 and 309446 is 47877794566

Least common multiple can be found by multiplying the highest exponent prime factors of 309442 and 309446. First we will calculate the prime factors of 309442 and 309446.

Prime Factorization of 309442


2 309442
7 154721
23 22103
31 961
31 31
1

Prime factors of 309442 are 2, 7, 23,31. Prime factorization of 309442 in exponential form is:

309442 = 21×71×231×312

Prime Factorization of 309446


2 309446
154723 154723
1

Prime factors of 309446 are 2,154723. Prime factorization of 309446 in exponential form is:

309446 = 21×1547231

Now multiplying the highest exponent prime factors to calculate the LCM of 309442 and 309446.

LCM(309442,309446) = 21×71×231×312×1547231
LCM(309442,309446) = 47877794566

Factors of 309442

List of positive integer factors of 309442 that divides 309442 without a remainder.

1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 961, 1426, 1922, 4991, 6727, 9982, 13454, 22103, 44206, 154721, 309442

Factors of 309446

List of positive integer factors of 309446 that divides 309446 without a remainder.

1, 2, 154723, 309446

Least Common Multiple of 309442 and 309446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309442 and 309446, than apply into the LCM equation.

GCF(309442,309446) = 2
LCM(309442,309446) = ( 309442 × 309446) / 2
LCM(309442,309446) = 95755589132 / 2
LCM(309442,309446) = 47877794566

Properties of LCM 309442 and 309446

(i) The LCM of 309446 and 309442 is associative

LCM of 309442 and 309446 = LCM of 309446 and 309442

Related Least Common Multiples of 309442

Related Least Common Multiples of 309446

Frequently Asked Questions on LCM of 309442 and 309446

1. What is the LCM of 309442 and 309446?

Answer: LCM of 309442 and 309446 is 47877794566.

2. What are the Factors of 309442?

Answer: Factors of 309442 are 1, 2, 7, 14, 23, 31, 46, 62, 161, 217, 322, 434, 713, 961, 1426, 1922, 4991, 6727, 9982, 13454, 22103, 44206, 154721, 309442. There are 24 integers that are factors of 309442. The greatest factor of 309442 is 309442.

3. What are the Factors of 309446?

Answer: Factors of 309446 are 1, 2, 154723, 309446. There are 4 integers that are factors of 309446. The greatest factor of 309446 is 309446.

4. How to Find the LCM of 309442 and 309446?

Answer:

Least Common Multiple of 309442 and 309446 = 47877794566

Step 1: Find the prime factorization of 309442

309442 = 2 x 7 x 23 x 31 x 31

Step 2: Find the prime factorization of 309446

309446 = 2 x 154723

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

LCM = 47877794566 = 2 x 7 x 23 x 31 x 31 x 154723

Step 4: Therefore, the least common multiple of 309442 and 309446 is 47877794566.