Least Common Multiple of 430 and 438

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 438 the smallest integer that is 94170 that is divisible by both numbers.

Least Common Multiple (LCM) of 430 and 438 is 94170.

LCM(430,438) = 94170

LCM of 430 and 438

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

LCM of:
and

Least Common Multiple of 430 and 438

LCM of 430 and 438 is 94170

Least common multiple can be found by multiplying the highest exponent prime factors of 430 and 438. First we will calculate the prime factors of 430 and 438.

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 438


2 438
3 219
73 73
1

Prime factors of 438 are 2, 3,73. Prime factorization of 438 in exponential form is:

438 = 21×31×731

Now multiplying the highest exponent prime factors to calculate the LCM of 430 and 438.

LCM(430,438) = 21×31×51×431×731
LCM(430,438) = 94170

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 438

List of positive integer factors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Least Common Multiple of 430 and 438 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 438, than apply into the LCM equation.

GCF(430,438) = 2
LCM(430,438) = ( 430 × 438) / 2
LCM(430,438) = 188340 / 2
LCM(430,438) = 94170

Properties of LCM 430 and 438

(i) The LCM of 438 and 430 is associative

LCM of 430 and 438 = LCM of 438 and 430

Related Least Common Multiples of 430

Related Least Common Multiples of 438

Frequently Asked Questions on LCM of 430 and 438

1. What is the LCM of 430 and 438?

Answer: LCM of 430 and 438 is 94170.

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 438?

Answer: Factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438. There are 8 integers that are factors of 438. The greatest factor of 438 is 438.

4. How to Find the LCM of 430 and 438?

Answer:

Least Common Multiple of 430 and 438 = 94170

Step 1: Find the prime factorization of 430

430 = 2 x 5 x 43

Step 2: Find the prime factorization of 438

438 = 2 x 3 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 = 94170 = 2 x 3 x 5 x 43 x 73

Step 4: Therefore, the least common multiple of 430 and 438 is 94170.