Least Common Multiple of 306416 and 306424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 306416 and 306424 the smallest integer that is 11736652048 that is divisible by both numbers.

Least Common Multiple (LCM) of 306416 and 306424 is 11736652048.

LCM(306416,306424) = 11736652048

LCM of 306416 and 306424

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

LCM of:
and

Least Common Multiple of 306416 and 306424

LCM of 306416 and 306424 is 11736652048

Least common multiple can be found by multiplying the highest exponent prime factors of 306416 and 306424. First we will calculate the prime factors of 306416 and 306424.

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

Prime Factorization of 306424


2 306424
2 153212
2 76606
38303 38303
1

Prime factors of 306424 are 2,38303. Prime factorization of 306424 in exponential form is:

306424 = 23×383031

Now multiplying the highest exponent prime factors to calculate the LCM of 306416 and 306424.

LCM(306416,306424) = 24×111×17411×383031
LCM(306416,306424) = 11736652048

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

Factors of 306424

List of positive integer factors of 306424 that divides 306424 without a remainder.

1, 2, 4, 8, 38303, 76606, 153212, 306424

Least Common Multiple of 306416 and 306424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306416 and 306424, than apply into the LCM equation.

GCF(306416,306424) = 8
LCM(306416,306424) = ( 306416 × 306424) / 8
LCM(306416,306424) = 93893216384 / 8
LCM(306416,306424) = 11736652048

Properties of LCM 306416 and 306424

(i) The LCM of 306424 and 306416 is associative

LCM of 306416 and 306424 = LCM of 306424 and 306416

Related Least Common Multiples of 306416

Related Least Common Multiples of 306424

Frequently Asked Questions on LCM of 306416 and 306424

1. What is the LCM of 306416 and 306424?

Answer: LCM of 306416 and 306424 is 11736652048.

2. 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.

3. What are the Factors of 306424?

Answer: Factors of 306424 are 1, 2, 4, 8, 38303, 76606, 153212, 306424. There are 8 integers that are factors of 306424. The greatest factor of 306424 is 306424.

4. How to Find the LCM of 306416 and 306424?

Answer:

Least Common Multiple of 306416 and 306424 = 11736652048

Step 1: Find the prime factorization of 306416

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

Step 2: Find the prime factorization of 306424

306424 = 2 x 2 x 2 x 38303

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

LCM = 11736652048 = 2 x 2 x 2 x 2 x 11 x 1741 x 38303

Step 4: Therefore, the least common multiple of 306416 and 306424 is 11736652048.