Least Common Multiple of 310446 and 310450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310446 and 310450 the smallest integer that is 48188980350 that is divisible by both numbers.

Least Common Multiple (LCM) of 310446 and 310450 is 48188980350.

LCM(310446,310450) = 48188980350

LCM of 310446 and 310450

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

LCM of:
and

Least Common Multiple of 310446 and 310450

LCM of 310446 and 310450 is 48188980350

Least common multiple can be found by multiplying the highest exponent prime factors of 310446 and 310450. First we will calculate the prime factors of 310446 and 310450.

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

Prime Factorization of 310450


2 310450
5 155225
5 31045
7 6209
887 887
1

Prime factors of 310450 are 2, 5, 7,887. Prime factorization of 310450 in exponential form is:

310450 = 21×52×71×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 310446 and 310450.

LCM(310446,310450) = 21×33×52×71×8871×57491
LCM(310446,310450) = 48188980350

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

Factors of 310450

List of positive integer factors of 310450 that divides 310450 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350, 887, 1774, 4435, 6209, 8870, 12418, 22175, 31045, 44350, 62090, 155225, 310450

Least Common Multiple of 310446 and 310450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310446 and 310450, than apply into the LCM equation.

GCF(310446,310450) = 2
LCM(310446,310450) = ( 310446 × 310450) / 2
LCM(310446,310450) = 96377960700 / 2
LCM(310446,310450) = 48188980350

Properties of LCM 310446 and 310450

(i) The LCM of 310450 and 310446 is associative

LCM of 310446 and 310450 = LCM of 310450 and 310446

Related Least Common Multiples of 310446

Related Least Common Multiples of 310450

Frequently Asked Questions on LCM of 310446 and 310450

1. What is the LCM of 310446 and 310450?

Answer: LCM of 310446 and 310450 is 48188980350.

2. 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.

3. What are the Factors of 310450?

Answer: Factors of 310450 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350, 887, 1774, 4435, 6209, 8870, 12418, 22175, 31045, 44350, 62090, 155225, 310450. There are 24 integers that are factors of 310450. The greatest factor of 310450 is 310450.

4. How to Find the LCM of 310446 and 310450?

Answer:

Least Common Multiple of 310446 and 310450 = 48188980350

Step 1: Find the prime factorization of 310446

310446 = 2 x 3 x 3 x 3 x 5749

Step 2: Find the prime factorization of 310450

310450 = 2 x 5 x 5 x 7 x 887

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

LCM = 48188980350 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 887 x 5749

Step 4: Therefore, the least common multiple of 310446 and 310450 is 48188980350.