Least Common Multiple of 435 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 435 and 438 the smallest integer that is 63510 that is divisible by both numbers.

Least Common Multiple (LCM) of 435 and 438 is 63510.

LCM(435,438) = 63510

LCM of 435 and 438

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

LCM of:
and

Least Common Multiple of 435 and 438

LCM of 435 and 438 is 63510

Least common multiple can be found by multiplying the highest exponent prime factors of 435 and 438. First we will calculate the prime factors of 435 and 438.

Prime Factorization of 435


3 435
5 145
29 29
1

Prime factors of 435 are 3, 5,29. Prime factorization of 435 in exponential form is:

435 = 31×51×291

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 435 and 438.

LCM(435,438) = 21×31×51×291×731
LCM(435,438) = 63510

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

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 435 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 435 and 438, than apply into the LCM equation.

GCF(435,438) = 3
LCM(435,438) = ( 435 × 438) / 3
LCM(435,438) = 190530 / 3
LCM(435,438) = 63510

Properties of LCM 435 and 438

(i) The LCM of 438 and 435 is associative

LCM of 435 and 438 = LCM of 438 and 435

Related Least Common Multiples of 435

Related Least Common Multiples of 438

Frequently Asked Questions on LCM of 435 and 438

1. What is the LCM of 435 and 438?

Answer: LCM of 435 and 438 is 63510.

2. What are the Factors of 435?

Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.

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 435 and 438?

Answer:

Least Common Multiple of 435 and 438 = 63510

Step 1: Find the prime factorization of 435

435 = 3 x 5 x 29

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 = 63510 = 2 x 3 x 5 x 29 x 73

Step 4: Therefore, the least common multiple of 435 and 438 is 63510.