Least Common Multiple of 306412 and 306416

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 306416 the smallest integer that is 23472384848 that is divisible by both numbers.

Least Common Multiple (LCM) of 306412 and 306416 is 23472384848.

LCM(306412,306416) = 23472384848

LCM of 306412 and 306416

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

LCM of:
and

Least Common Multiple of 306412 and 306416

LCM of 306412 and 306416 is 23472384848

Least common multiple can be found by multiplying the highest exponent prime factors of 306412 and 306416. First we will calculate the prime factors of 306412 and 306416.

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 306416


2 306416
2 153208
2 76604
2 38302
11 19151
1741 1741
1

Prime factors of 306416 are 2, 11,1741. Prime factorization of 306416 in exponential form is:

306416 = 24×111×17411

Now multiplying the highest exponent prime factors to calculate the LCM of 306412 and 306416.

LCM(306412,306416) = 24×111×17411×766031
LCM(306412,306416) = 23472384848

Factors of 306412

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

1, 2, 4, 76603, 153206, 306412

Factors of 306416

List of positive integer factors of 306416 that divides 306416 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 1741, 3482, 6964, 13928, 19151, 27856, 38302, 76604, 153208, 306416

Least Common Multiple of 306412 and 306416 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 306416, than apply into the LCM equation.

GCF(306412,306416) = 4
LCM(306412,306416) = ( 306412 × 306416) / 4
LCM(306412,306416) = 93889539392 / 4
LCM(306412,306416) = 23472384848

Properties of LCM 306412 and 306416

(i) The LCM of 306416 and 306412 is associative

LCM of 306412 and 306416 = LCM of 306416 and 306412

Related Least Common Multiples of 306412

Related Least Common Multiples of 306416

Frequently Asked Questions on LCM of 306412 and 306416

1. What is the LCM of 306412 and 306416?

Answer: LCM of 306412 and 306416 is 23472384848.

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 306416?

Answer: Factors of 306416 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 1741, 3482, 6964, 13928, 19151, 27856, 38302, 76604, 153208, 306416. There are 20 integers that are factors of 306416. The greatest factor of 306416 is 306416.

4. How to Find the LCM of 306412 and 306416?

Answer:

Least Common Multiple of 306412 and 306416 = 23472384848

Step 1: Find the prime factorization of 306412

306412 = 2 x 2 x 76603

Step 2: Find the prime factorization of 306416

306416 = 2 x 2 x 2 x 2 x 11 x 1741

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

LCM = 23472384848 = 2 x 2 x 2 x 2 x 11 x 1741 x 76603

Step 4: Therefore, the least common multiple of 306412 and 306416 is 23472384848.