Least Common Multiple of 20450 and 20457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20450 and 20457 the smallest integer that is 418345650 that is divisible by both numbers.

Least Common Multiple (LCM) of 20450 and 20457 is 418345650.

LCM(20450,20457) = 418345650

LCM of 20450 and 20457

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

LCM of:
and

Least Common Multiple of 20450 and 20457

LCM of 20450 and 20457 is 418345650

Least common multiple can be found by multiplying the highest exponent prime factors of 20450 and 20457. First we will calculate the prime factors of 20450 and 20457.

Prime Factorization of 20450


2 20450
5 10225
5 2045
409 409
1

Prime factors of 20450 are 2, 5,409. Prime factorization of 20450 in exponential form is:

20450 = 21×52×4091

Prime Factorization of 20457


3 20457
3 6819
2273 2273
1

Prime factors of 20457 are 3,2273. Prime factorization of 20457 in exponential form is:

20457 = 32×22731

Now multiplying the highest exponent prime factors to calculate the LCM of 20450 and 20457.

LCM(20450,20457) = 21×32×52×4091×22731
LCM(20450,20457) = 418345650

Factors of 20450

List of positive integer factors of 20450 that divides 20450 without a remainder.

1, 2, 5, 10, 25, 50, 409, 818, 2045, 4090, 10225, 20450

Factors of 20457

List of positive integer factors of 20457 that divides 20457 without a remainder.

1, 3, 9, 2273, 6819, 20457

Least Common Multiple of 20450 and 20457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20450 and 20457, than apply into the LCM equation.

GCF(20450,20457) = 1
LCM(20450,20457) = ( 20450 × 20457) / 1
LCM(20450,20457) = 418345650 / 1
LCM(20450,20457) = 418345650

Properties of LCM 20450 and 20457

(i) The LCM of 20457 and 20450 is associative

LCM of 20450 and 20457 = LCM of 20457 and 20450

Related Least Common Multiples of 20450

Related Least Common Multiples of 20457

Frequently Asked Questions on LCM of 20450 and 20457

1. What is the LCM of 20450 and 20457?

Answer: LCM of 20450 and 20457 is 418345650.

2. What are the Factors of 20450?

Answer: Factors of 20450 are 1, 2, 5, 10, 25, 50, 409, 818, 2045, 4090, 10225, 20450. There are 12 integers that are factors of 20450. The greatest factor of 20450 is 20450.

3. What are the Factors of 20457?

Answer: Factors of 20457 are 1, 3, 9, 2273, 6819, 20457. There are 6 integers that are factors of 20457. The greatest factor of 20457 is 20457.

4. How to Find the LCM of 20450 and 20457?

Answer:

Least Common Multiple of 20450 and 20457 = 418345650

Step 1: Find the prime factorization of 20450

20450 = 2 x 5 x 5 x 409

Step 2: Find the prime factorization of 20457

20457 = 3 x 3 x 2273

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

LCM = 418345650 = 2 x 3 x 3 x 5 x 5 x 409 x 2273

Step 4: Therefore, the least common multiple of 20450 and 20457 is 418345650.