Least Common Multiple of 310442 and 310446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310442 and 310446 the smallest integer that is 48187738566 that is divisible by both numbers.

Least Common Multiple (LCM) of 310442 and 310446 is 48187738566.

LCM(310442,310446) = 48187738566

LCM of 310442 and 310446

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

LCM of:
and

Least Common Multiple of 310442 and 310446

LCM of 310442 and 310446 is 48187738566

Least common multiple can be found by multiplying the highest exponent prime factors of 310442 and 310446. First we will calculate the prime factors of 310442 and 310446.

Prime Factorization of 310442


2 310442
11 155221
103 14111
137 137
1

Prime factors of 310442 are 2, 11, 103,137. Prime factorization of 310442 in exponential form is:

310442 = 21×111×1031×1371

Prime Factorization of 310446


2 310446
3 155223
3 51741
3 17247
5749 5749
1

Prime factors of 310446 are 2, 3,5749. Prime factorization of 310446 in exponential form is:

310446 = 21×33×57491

Now multiplying the highest exponent prime factors to calculate the LCM of 310442 and 310446.

LCM(310442,310446) = 21×33×111×1031×1371×57491
LCM(310442,310446) = 48187738566

Factors of 310442

List of positive integer factors of 310442 that divides 310442 without a remainder.

1, 2, 11, 22, 103, 137, 206, 274, 1133, 1507, 2266, 3014, 14111, 28222, 155221, 310442

Factors of 310446

List of positive integer factors of 310446 that divides 310446 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 5749, 11498, 17247, 34494, 51741, 103482, 155223, 310446

Least Common Multiple of 310442 and 310446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310442 and 310446, than apply into the LCM equation.

GCF(310442,310446) = 2
LCM(310442,310446) = ( 310442 × 310446) / 2
LCM(310442,310446) = 96375477132 / 2
LCM(310442,310446) = 48187738566

Properties of LCM 310442 and 310446

(i) The LCM of 310446 and 310442 is associative

LCM of 310442 and 310446 = LCM of 310446 and 310442

Related Least Common Multiples of 310442

Related Least Common Multiples of 310446

Frequently Asked Questions on LCM of 310442 and 310446

1. What is the LCM of 310442 and 310446?

Answer: LCM of 310442 and 310446 is 48187738566.

2. What are the Factors of 310442?

Answer: Factors of 310442 are 1, 2, 11, 22, 103, 137, 206, 274, 1133, 1507, 2266, 3014, 14111, 28222, 155221, 310442. There are 16 integers that are factors of 310442. The greatest factor of 310442 is 310442.

3. What are the Factors of 310446?

Answer: Factors of 310446 are 1, 2, 3, 6, 9, 18, 27, 54, 5749, 11498, 17247, 34494, 51741, 103482, 155223, 310446. There are 16 integers that are factors of 310446. The greatest factor of 310446 is 310446.

4. How to Find the LCM of 310442 and 310446?

Answer:

Least Common Multiple of 310442 and 310446 = 48187738566

Step 1: Find the prime factorization of 310442

310442 = 2 x 11 x 103 x 137

Step 2: Find the prime factorization of 310446

310446 = 2 x 3 x 3 x 3 x 5749

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

LCM = 48187738566 = 2 x 3 x 3 x 3 x 11 x 103 x 137 x 5749

Step 4: Therefore, the least common multiple of 310442 and 310446 is 48187738566.