Least Common Multiple of 11425 and 11430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 11425 and 11430 the smallest integer that is 26117550 that is divisible by both numbers.

Least Common Multiple (LCM) of 11425 and 11430 is 26117550.

LCM(11425,11430) = 26117550

LCM of 11425 and 11430

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

LCM of:
and

Least Common Multiple of 11425 and 11430

LCM of 11425 and 11430 is 26117550

Least common multiple can be found by multiplying the highest exponent prime factors of 11425 and 11430. First we will calculate the prime factors of 11425 and 11430.

Prime Factorization of 11425


5 11425
5 2285
457 457
1

Prime factors of 11425 are 5,457. Prime factorization of 11425 in exponential form is:

11425 = 52×4571

Prime Factorization of 11430


2 11430
3 5715
3 1905
5 635
127 127
1

Prime factors of 11430 are 2, 3, 5,127. Prime factorization of 11430 in exponential form is:

11430 = 21×32×51×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 11425 and 11430.

LCM(11425,11430) = 21×32×52×1271×4571
LCM(11425,11430) = 26117550

Factors of 11425

List of positive integer factors of 11425 that divides 11425 without a remainder.

1, 5, 25, 457, 2285, 11425

Factors of 11430

List of positive integer factors of 11430 that divides 11430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 127, 254, 381, 635, 762, 1143, 1270, 1905, 2286, 3810, 5715, 11430

Least Common Multiple of 11425 and 11430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11425 and 11430, than apply into the LCM equation.

GCF(11425,11430) = 5
LCM(11425,11430) = ( 11425 × 11430) / 5
LCM(11425,11430) = 130587750 / 5
LCM(11425,11430) = 26117550

Properties of LCM 11425 and 11430

(i) The LCM of 11430 and 11425 is associative

LCM of 11425 and 11430 = LCM of 11430 and 11425

Related Least Common Multiples of 11425

Related Least Common Multiples of 11430

Frequently Asked Questions on LCM of 11425 and 11430

1. What is the LCM of 11425 and 11430?

Answer: LCM of 11425 and 11430 is 26117550.

2. What are the Factors of 11425?

Answer: Factors of 11425 are 1, 5, 25, 457, 2285, 11425. There are 6 integers that are factors of 11425. The greatest factor of 11425 is 11425.

3. What are the Factors of 11430?

Answer: Factors of 11430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 127, 254, 381, 635, 762, 1143, 1270, 1905, 2286, 3810, 5715, 11430. There are 24 integers that are factors of 11430. The greatest factor of 11430 is 11430.

4. How to Find the LCM of 11425 and 11430?

Answer:

Least Common Multiple of 11425 and 11430 = 26117550

Step 1: Find the prime factorization of 11425

11425 = 5 x 5 x 457

Step 2: Find the prime factorization of 11430

11430 = 2 x 3 x 3 x 5 x 127

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

LCM = 26117550 = 2 x 3 x 3 x 5 x 5 x 127 x 457

Step 4: Therefore, the least common multiple of 11425 and 11430 is 26117550.