Least Common Multiple of 321425 and 321430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 321425 and 321430 the smallest integer that is 20663127550 that is divisible by both numbers.

Least Common Multiple (LCM) of 321425 and 321430 is 20663127550.

LCM(321425,321430) = 20663127550

LCM of 321425 and 321430

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

LCM of:
and

Least Common Multiple of 321425 and 321430

LCM of 321425 and 321430 is 20663127550

Least common multiple can be found by multiplying the highest exponent prime factors of 321425 and 321430. First we will calculate the prime factors of 321425 and 321430.

Prime Factorization of 321425


5 321425
5 64285
13 12857
23 989
43 43
1

Prime factors of 321425 are 5, 13, 23,43. Prime factorization of 321425 in exponential form is:

321425 = 52×131×231×431

Prime Factorization of 321430


2 321430
5 160715
32143 32143
1

Prime factors of 321430 are 2, 5,32143. Prime factorization of 321430 in exponential form is:

321430 = 21×51×321431

Now multiplying the highest exponent prime factors to calculate the LCM of 321425 and 321430.

LCM(321425,321430) = 21×52×131×231×431×321431
LCM(321425,321430) = 20663127550

Factors of 321425

List of positive integer factors of 321425 that divides 321425 without a remainder.

1, 5, 13, 23, 25, 43, 65, 115, 215, 299, 325, 559, 575, 989, 1075, 1495, 2795, 4945, 7475, 12857, 13975, 24725, 64285, 321425

Factors of 321430

List of positive integer factors of 321430 that divides 321430 without a remainder.

1, 2, 5, 10, 32143, 64286, 160715, 321430

Least Common Multiple of 321425 and 321430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321425 and 321430, than apply into the LCM equation.

GCF(321425,321430) = 5
LCM(321425,321430) = ( 321425 × 321430) / 5
LCM(321425,321430) = 103315637750 / 5
LCM(321425,321430) = 20663127550

Properties of LCM 321425 and 321430

(i) The LCM of 321430 and 321425 is associative

LCM of 321425 and 321430 = LCM of 321430 and 321425

Related Least Common Multiples of 321425

Related Least Common Multiples of 321430

Frequently Asked Questions on LCM of 321425 and 321430

1. What is the LCM of 321425 and 321430?

Answer: LCM of 321425 and 321430 is 20663127550.

2. What are the Factors of 321425?

Answer: Factors of 321425 are 1, 5, 13, 23, 25, 43, 65, 115, 215, 299, 325, 559, 575, 989, 1075, 1495, 2795, 4945, 7475, 12857, 13975, 24725, 64285, 321425. There are 24 integers that are factors of 321425. The greatest factor of 321425 is 321425.

3. What are the Factors of 321430?

Answer: Factors of 321430 are 1, 2, 5, 10, 32143, 64286, 160715, 321430. There are 8 integers that are factors of 321430. The greatest factor of 321430 is 321430.

4. How to Find the LCM of 321425 and 321430?

Answer:

Least Common Multiple of 321425 and 321430 = 20663127550

Step 1: Find the prime factorization of 321425

321425 = 5 x 5 x 13 x 23 x 43

Step 2: Find the prime factorization of 321430

321430 = 2 x 5 x 32143

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

LCM = 20663127550 = 2 x 5 x 5 x 13 x 23 x 43 x 32143

Step 4: Therefore, the least common multiple of 321425 and 321430 is 20663127550.