Least Common Multiple of 430 and 436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 430 and 436 the smallest integer that is 93740 that is divisible by both numbers.

Least Common Multiple (LCM) of 430 and 436 is 93740.

LCM(430,436) = 93740

LCM of 430 and 436

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

LCM of:
and

Least Common Multiple of 430 and 436

LCM of 430 and 436 is 93740

Least common multiple can be found by multiplying the highest exponent prime factors of 430 and 436. First we will calculate the prime factors of 430 and 436.

Prime Factorization of 430


2 430
5 215
43 43
1

Prime factors of 430 are 2, 5,43. Prime factorization of 430 in exponential form is:

430 = 21×51×431

Prime Factorization of 436


2 436
2 218
109 109
1

Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:

436 = 22×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 430 and 436.

LCM(430,436) = 22×51×431×1091
LCM(430,436) = 93740

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Least Common Multiple of 430 and 436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 430 and 436, than apply into the LCM equation.

GCF(430,436) = 2
LCM(430,436) = ( 430 × 436) / 2
LCM(430,436) = 187480 / 2
LCM(430,436) = 93740

Properties of LCM 430 and 436

(i) The LCM of 436 and 430 is associative

LCM of 430 and 436 = LCM of 436 and 430

Related Least Common Multiples of 430

Related Least Common Multiples of 436

Frequently Asked Questions on LCM of 430 and 436

1. What is the LCM of 430 and 436?

Answer: LCM of 430 and 436 is 93740.

2. What are the Factors of 430?

Answer: Factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430. There are 8 integers that are factors of 430. The greatest factor of 430 is 430.

3. What are the Factors of 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

4. How to Find the LCM of 430 and 436?

Answer:

Least Common Multiple of 430 and 436 = 93740

Step 1: Find the prime factorization of 430

430 = 2 x 5 x 43

Step 2: Find the prime factorization of 436

436 = 2 x 2 x 109

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

LCM = 93740 = 2 x 2 x 5 x 43 x 109

Step 4: Therefore, the least common multiple of 430 and 436 is 93740.