Least Common Multiple of 316414 and 316420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 316414 and 316420 the smallest integer that is 50059858940 that is divisible by both numbers.

Least Common Multiple (LCM) of 316414 and 316420 is 50059858940.

LCM(316414,316420) = 50059858940

LCM of 316414 and 316420

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

LCM of:
and

Least Common Multiple of 316414 and 316420

LCM of 316414 and 316420 is 50059858940

Least common multiple can be found by multiplying the highest exponent prime factors of 316414 and 316420. First we will calculate the prime factors of 316414 and 316420.

Prime Factorization of 316414


2 316414
7 158207
97 22601
233 233
1

Prime factors of 316414 are 2, 7, 97,233. Prime factorization of 316414 in exponential form is:

316414 = 21×71×971×2331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 316414 and 316420.

LCM(316414,316420) = 22×51×71×131×971×2331×12171
LCM(316414,316420) = 50059858940

Factors of 316414

List of positive integer factors of 316414 that divides 316414 without a remainder.

1, 2, 7, 14, 97, 194, 233, 466, 679, 1358, 1631, 3262, 22601, 45202, 158207, 316414

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

Least Common Multiple of 316414 and 316420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 316414 and 316420, than apply into the LCM equation.

GCF(316414,316420) = 2
LCM(316414,316420) = ( 316414 × 316420) / 2
LCM(316414,316420) = 100119717880 / 2
LCM(316414,316420) = 50059858940

Properties of LCM 316414 and 316420

(i) The LCM of 316420 and 316414 is associative

LCM of 316414 and 316420 = LCM of 316420 and 316414

Related Least Common Multiples of 316414

Related Least Common Multiples of 316420

Frequently Asked Questions on LCM of 316414 and 316420

1. What is the LCM of 316414 and 316420?

Answer: LCM of 316414 and 316420 is 50059858940.

2. What are the Factors of 316414?

Answer: Factors of 316414 are 1, 2, 7, 14, 97, 194, 233, 466, 679, 1358, 1631, 3262, 22601, 45202, 158207, 316414. There are 16 integers that are factors of 316414. The greatest factor of 316414 is 316414.

3. 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.

4. How to Find the LCM of 316414 and 316420?

Answer:

Least Common Multiple of 316414 and 316420 = 50059858940

Step 1: Find the prime factorization of 316414

316414 = 2 x 7 x 97 x 233

Step 2: Find the prime factorization of 316420

316420 = 2 x 2 x 5 x 13 x 1217

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

LCM = 50059858940 = 2 x 2 x 5 x 7 x 13 x 97 x 233 x 1217

Step 4: Therefore, the least common multiple of 316414 and 316420 is 50059858940.