Least Common Multiple of 16425 and 16430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16425 and 16430 the smallest integer that is 53972550 that is divisible by both numbers.

Least Common Multiple (LCM) of 16425 and 16430 is 53972550.

LCM(16425,16430) = 53972550

LCM of 16425 and 16430

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

LCM of:
and

Least Common Multiple of 16425 and 16430

LCM of 16425 and 16430 is 53972550

Least common multiple can be found by multiplying the highest exponent prime factors of 16425 and 16430. First we will calculate the prime factors of 16425 and 16430.

Prime Factorization of 16425


3 16425
3 5475
5 1825
5 365
73 73
1

Prime factors of 16425 are 3, 5,73. Prime factorization of 16425 in exponential form is:

16425 = 32×52×731

Prime Factorization of 16430


2 16430
5 8215
31 1643
53 53
1

Prime factors of 16430 are 2, 5, 31,53. Prime factorization of 16430 in exponential form is:

16430 = 21×51×311×531

Now multiplying the highest exponent prime factors to calculate the LCM of 16425 and 16430.

LCM(16425,16430) = 21×32×52×311×531×731
LCM(16425,16430) = 53972550

Factors of 16425

List of positive integer factors of 16425 that divides 16425 without a remainder.

1, 3, 5, 9, 15, 25, 45, 73, 75, 219, 225, 365, 657, 1095, 1825, 3285, 5475, 16425

Factors of 16430

List of positive integer factors of 16430 that divides 16430 without a remainder.

1, 2, 5, 10, 31, 53, 62, 106, 155, 265, 310, 530, 1643, 3286, 8215, 16430

Least Common Multiple of 16425 and 16430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16425 and 16430, than apply into the LCM equation.

GCF(16425,16430) = 5
LCM(16425,16430) = ( 16425 × 16430) / 5
LCM(16425,16430) = 269862750 / 5
LCM(16425,16430) = 53972550

Properties of LCM 16425 and 16430

(i) The LCM of 16430 and 16425 is associative

LCM of 16425 and 16430 = LCM of 16430 and 16425

Related Least Common Multiples of 16425

Related Least Common Multiples of 16430

Frequently Asked Questions on LCM of 16425 and 16430

1. What is the LCM of 16425 and 16430?

Answer: LCM of 16425 and 16430 is 53972550.

2. What are the Factors of 16425?

Answer: Factors of 16425 are 1, 3, 5, 9, 15, 25, 45, 73, 75, 219, 225, 365, 657, 1095, 1825, 3285, 5475, 16425. There are 18 integers that are factors of 16425. The greatest factor of 16425 is 16425.

3. What are the Factors of 16430?

Answer: Factors of 16430 are 1, 2, 5, 10, 31, 53, 62, 106, 155, 265, 310, 530, 1643, 3286, 8215, 16430. There are 16 integers that are factors of 16430. The greatest factor of 16430 is 16430.

4. How to Find the LCM of 16425 and 16430?

Answer:

Least Common Multiple of 16425 and 16430 = 53972550

Step 1: Find the prime factorization of 16425

16425 = 3 x 3 x 5 x 5 x 73

Step 2: Find the prime factorization of 16430

16430 = 2 x 5 x 31 x 53

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

LCM = 53972550 = 2 x 3 x 3 x 5 x 5 x 31 x 53 x 73

Step 4: Therefore, the least common multiple of 16425 and 16430 is 53972550.