Least Common Multiple of 306413 and 306420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306413 and 306420 the smallest integer that is 93891071460 that is divisible by both numbers.

Least Common Multiple (LCM) of 306413 and 306420 is 93891071460.

LCM(306413,306420) = 93891071460

LCM of 306413 and 306420

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

LCM of:
and

Least Common Multiple of 306413 and 306420

LCM of 306413 and 306420 is 93891071460

Least common multiple can be found by multiplying the highest exponent prime factors of 306413 and 306420. First we will calculate the prime factors of 306413 and 306420.

Prime Factorization of 306413


19 306413
16127 16127
1

Prime factors of 306413 are 19,16127. Prime factorization of 306413 in exponential form is:

306413 = 191×161271

Prime Factorization of 306420


2 306420
2 153210
3 76605
5 25535
5107 5107
1

Prime factors of 306420 are 2, 3, 5,5107. Prime factorization of 306420 in exponential form is:

306420 = 22×31×51×51071

Now multiplying the highest exponent prime factors to calculate the LCM of 306413 and 306420.

LCM(306413,306420) = 22×31×51×191×51071×161271
LCM(306413,306420) = 93891071460

Factors of 306413

List of positive integer factors of 306413 that divides 306413 without a remainder.

1, 19, 16127, 306413

Factors of 306420

List of positive integer factors of 306420 that divides 306420 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 5107, 10214, 15321, 20428, 25535, 30642, 51070, 61284, 76605, 102140, 153210, 306420

Least Common Multiple of 306413 and 306420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306413 and 306420, than apply into the LCM equation.

GCF(306413,306420) = 1
LCM(306413,306420) = ( 306413 × 306420) / 1
LCM(306413,306420) = 93891071460 / 1
LCM(306413,306420) = 93891071460

Properties of LCM 306413 and 306420

(i) The LCM of 306420 and 306413 is associative

LCM of 306413 and 306420 = LCM of 306420 and 306413

Related Least Common Multiples of 306413

Related Least Common Multiples of 306420

Frequently Asked Questions on LCM of 306413 and 306420

1. What is the LCM of 306413 and 306420?

Answer: LCM of 306413 and 306420 is 93891071460.

2. What are the Factors of 306413?

Answer: Factors of 306413 are 1, 19, 16127, 306413. There are 4 integers that are factors of 306413. The greatest factor of 306413 is 306413.

3. What are the Factors of 306420?

Answer: Factors of 306420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 5107, 10214, 15321, 20428, 25535, 30642, 51070, 61284, 76605, 102140, 153210, 306420. There are 24 integers that are factors of 306420. The greatest factor of 306420 is 306420.

4. How to Find the LCM of 306413 and 306420?

Answer:

Least Common Multiple of 306413 and 306420 = 93891071460

Step 1: Find the prime factorization of 306413

306413 = 19 x 16127

Step 2: Find the prime factorization of 306420

306420 = 2 x 2 x 3 x 5 x 5107

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

LCM = 93891071460 = 2 x 2 x 3 x 5 x 19 x 5107 x 16127

Step 4: Therefore, the least common multiple of 306413 and 306420 is 93891071460.