Least Common Multiple of 306412 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 306412 and 306420 the smallest integer that is 23472691260 that is divisible by both numbers.

Least Common Multiple (LCM) of 306412 and 306420 is 23472691260.

LCM(306412,306420) = 23472691260

LCM of 306412 and 306420

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

LCM of:
and

Least Common Multiple of 306412 and 306420

LCM of 306412 and 306420 is 23472691260

Least common multiple can be found by multiplying the highest exponent prime factors of 306412 and 306420. First we will calculate the prime factors of 306412 and 306420.

Prime Factorization of 306412


2 306412
2 153206
76603 76603
1

Prime factors of 306412 are 2,76603. Prime factorization of 306412 in exponential form is:

306412 = 22×766031

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 306412 and 306420.

LCM(306412,306420) = 22×31×51×51071×766031
LCM(306412,306420) = 23472691260

Factors of 306412

List of positive integer factors of 306412 that divides 306412 without a remainder.

1, 2, 4, 76603, 153206, 306412

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 306412 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 306412 and 306420, than apply into the LCM equation.

GCF(306412,306420) = 4
LCM(306412,306420) = ( 306412 × 306420) / 4
LCM(306412,306420) = 93890765040 / 4
LCM(306412,306420) = 23472691260

Properties of LCM 306412 and 306420

(i) The LCM of 306420 and 306412 is associative

LCM of 306412 and 306420 = LCM of 306420 and 306412

Related Least Common Multiples of 306412

Related Least Common Multiples of 306420

Frequently Asked Questions on LCM of 306412 and 306420

1. What is the LCM of 306412 and 306420?

Answer: LCM of 306412 and 306420 is 23472691260.

2. What are the Factors of 306412?

Answer: Factors of 306412 are 1, 2, 4, 76603, 153206, 306412. There are 6 integers that are factors of 306412. The greatest factor of 306412 is 306412.

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 306412 and 306420?

Answer:

Least Common Multiple of 306412 and 306420 = 23472691260

Step 1: Find the prime factorization of 306412

306412 = 2 x 2 x 76603

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 = 23472691260 = 2 x 2 x 3 x 5 x 5107 x 76603

Step 4: Therefore, the least common multiple of 306412 and 306420 is 23472691260.