Least Common Multiple of 316420 and 316425

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316420 and 316425 the smallest integer that is 20024639700 that is divisible by both numbers.

Least Common Multiple (LCM) of 316420 and 316425 is 20024639700.

LCM(316420,316425) = 20024639700

LCM of 316420 and 316425

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

LCM of:
and

Least Common Multiple of 316420 and 316425

LCM of 316420 and 316425 is 20024639700

Least common multiple can be found by multiplying the highest exponent prime factors of 316420 and 316425. First we will calculate the prime factors of 316420 and 316425.

Prime Factorization of 316420


2 316420
2 158210
5 79105
13 15821
1217 1217
1

Prime factors of 316420 are 2, 5, 13,1217. Prime factorization of 316420 in exponential form is:

316420 = 22×51×131×12171

Prime Factorization of 316425


3 316425
5 105475
5 21095
4219 4219
1

Prime factors of 316425 are 3, 5,4219. Prime factorization of 316425 in exponential form is:

316425 = 31×52×42191

Now multiplying the highest exponent prime factors to calculate the LCM of 316420 and 316425.

LCM(316420,316425) = 22×31×52×131×12171×42191
LCM(316420,316425) = 20024639700

Factors of 316420

List of positive integer factors of 316420 that divides 316420 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 1217, 2434, 4868, 6085, 12170, 15821, 24340, 31642, 63284, 79105, 158210, 316420

Factors of 316425

List of positive integer factors of 316425 that divides 316425 without a remainder.

1, 3, 5, 15, 25, 75, 4219, 12657, 21095, 63285, 105475, 316425

Least Common Multiple of 316420 and 316425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316420 and 316425, than apply into the LCM equation.

GCF(316420,316425) = 5
LCM(316420,316425) = ( 316420 × 316425) / 5
LCM(316420,316425) = 100123198500 / 5
LCM(316420,316425) = 20024639700

Properties of LCM 316420 and 316425

(i) The LCM of 316425 and 316420 is associative

LCM of 316420 and 316425 = LCM of 316425 and 316420

Related Least Common Multiples of 316420

Related Least Common Multiples of 316425

Frequently Asked Questions on LCM of 316420 and 316425

1. What is the LCM of 316420 and 316425?

Answer: LCM of 316420 and 316425 is 20024639700.

2. What are the Factors of 316420?

Answer: Factors of 316420 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 1217, 2434, 4868, 6085, 12170, 15821, 24340, 31642, 63284, 79105, 158210, 316420. There are 24 integers that are factors of 316420. The greatest factor of 316420 is 316420.

3. What are the Factors of 316425?

Answer: Factors of 316425 are 1, 3, 5, 15, 25, 75, 4219, 12657, 21095, 63285, 105475, 316425. There are 12 integers that are factors of 316425. The greatest factor of 316425 is 316425.

4. How to Find the LCM of 316420 and 316425?

Answer:

Least Common Multiple of 316420 and 316425 = 20024639700

Step 1: Find the prime factorization of 316420

316420 = 2 x 2 x 5 x 13 x 1217

Step 2: Find the prime factorization of 316425

316425 = 3 x 5 x 5 x 4219

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

LCM = 20024639700 = 2 x 2 x 3 x 5 x 5 x 13 x 1217 x 4219

Step 4: Therefore, the least common multiple of 316420 and 316425 is 20024639700.