Least Common Multiple of 5430 and 5435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5430 and 5435 the smallest integer that is 5902410 that is divisible by both numbers.

Least Common Multiple (LCM) of 5430 and 5435 is 5902410.

LCM(5430,5435) = 5902410

LCM of 5430 and 5435

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

LCM of:
and

Least Common Multiple of 5430 and 5435

LCM of 5430 and 5435 is 5902410

Least common multiple can be found by multiplying the highest exponent prime factors of 5430 and 5435. First we will calculate the prime factors of 5430 and 5435.

Prime Factorization of 5430


2 5430
3 2715
5 905
181 181
1

Prime factors of 5430 are 2, 3, 5,181. Prime factorization of 5430 in exponential form is:

5430 = 21×31×51×1811

Prime Factorization of 5435


5 5435
1087 1087
1

Prime factors of 5435 are 5,1087. Prime factorization of 5435 in exponential form is:

5435 = 51×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 5430 and 5435.

LCM(5430,5435) = 21×31×51×1811×10871
LCM(5430,5435) = 5902410

Factors of 5430

List of positive integer factors of 5430 that divides 5430 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430

Factors of 5435

List of positive integer factors of 5435 that divides 5435 without a remainder.

1, 5, 1087, 5435

Least Common Multiple of 5430 and 5435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5430 and 5435, than apply into the LCM equation.

GCF(5430,5435) = 5
LCM(5430,5435) = ( 5430 × 5435) / 5
LCM(5430,5435) = 29512050 / 5
LCM(5430,5435) = 5902410

Properties of LCM 5430 and 5435

(i) The LCM of 5435 and 5430 is associative

LCM of 5430 and 5435 = LCM of 5435 and 5430

Related Least Common Multiples of 5430

Related Least Common Multiples of 5435

Frequently Asked Questions on LCM of 5430 and 5435

1. What is the LCM of 5430 and 5435?

Answer: LCM of 5430 and 5435 is 5902410.

2. What are the Factors of 5430?

Answer: Factors of 5430 are 1, 2, 3, 5, 6, 10, 15, 30, 181, 362, 543, 905, 1086, 1810, 2715, 5430. There are 16 integers that are factors of 5430. The greatest factor of 5430 is 5430.

3. What are the Factors of 5435?

Answer: Factors of 5435 are 1, 5, 1087, 5435. There are 4 integers that are factors of 5435. The greatest factor of 5435 is 5435.

4. How to Find the LCM of 5430 and 5435?

Answer:

Least Common Multiple of 5430 and 5435 = 5902410

Step 1: Find the prime factorization of 5430

5430 = 2 x 3 x 5 x 181

Step 2: Find the prime factorization of 5435

5435 = 5 x 1087

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

LCM = 5902410 = 2 x 3 x 5 x 181 x 1087

Step 4: Therefore, the least common multiple of 5430 and 5435 is 5902410.