Least Common Multiple of 16421 and 16425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 16421 and 16425 the smallest integer that is 269714925 that is divisible by both numbers.

Least Common Multiple (LCM) of 16421 and 16425 is 269714925.

LCM(16421,16425) = 269714925

LCM of 16421 and 16425

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

LCM of:
and

Least Common Multiple of 16421 and 16425

LCM of 16421 and 16425 is 269714925

Least common multiple can be found by multiplying the highest exponent prime factors of 16421 and 16425. First we will calculate the prime factors of 16421 and 16425.

Prime Factorization of 16421


16421 16421
1

Prime factors of 16421 are 16421. Prime factorization of 16421 in exponential form is:

16421 = 164211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 16421 and 16425.

LCM(16421,16425) = 32×52×731×164211
LCM(16421,16425) = 269714925

Factors of 16421

List of positive integer factors of 16421 that divides 16421 without a remainder.

1, 16421

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

Least Common Multiple of 16421 and 16425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16421 and 16425, than apply into the LCM equation.

GCF(16421,16425) = 1
LCM(16421,16425) = ( 16421 × 16425) / 1
LCM(16421,16425) = 269714925 / 1
LCM(16421,16425) = 269714925

Properties of LCM 16421 and 16425

(i) The LCM of 16425 and 16421 is associative

LCM of 16421 and 16425 = LCM of 16425 and 16421

Related Least Common Multiples of 16421

Related Least Common Multiples of 16425

Frequently Asked Questions on LCM of 16421 and 16425

1. What is the LCM of 16421 and 16425?

Answer: LCM of 16421 and 16425 is 269714925.

2. What are the Factors of 16421?

Answer: Factors of 16421 are 1, 16421. There are 2 integers that are factors of 16421. The greatest factor of 16421 is 16421.

3. 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.

4. How to Find the LCM of 16421 and 16425?

Answer:

Least Common Multiple of 16421 and 16425 = 269714925

Step 1: Find the prime factorization of 16421

16421 = 16421

Step 2: Find the prime factorization of 16425

16425 = 3 x 3 x 5 x 5 x 73

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

LCM = 269714925 = 3 x 3 x 5 x 5 x 73 x 16421

Step 4: Therefore, the least common multiple of 16421 and 16425 is 269714925.