Least Common Multiple of 306416 and 306423

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 306423 the smallest integer that is 93892909968 that is divisible by both numbers.

Least Common Multiple (LCM) of 306416 and 306423 is 93892909968.

LCM(306416,306423) = 93892909968

LCM of 306416 and 306423

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

LCM of:
and

Least Common Multiple of 306416 and 306423

LCM of 306416 and 306423 is 93892909968

Least common multiple can be found by multiplying the highest exponent prime factors of 306416 and 306423. First we will calculate the prime factors of 306416 and 306423.

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 306423


3 306423
3 102141
3 34047
3 11349
3 3783
13 1261
97 97
1

Prime factors of 306423 are 3, 13,97. Prime factorization of 306423 in exponential form is:

306423 = 35×131×971

Now multiplying the highest exponent prime factors to calculate the LCM of 306416 and 306423.

LCM(306416,306423) = 24×35×111×131×971×17411
LCM(306416,306423) = 93892909968

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 306423

List of positive integer factors of 306423 that divides 306423 without a remainder.

1, 3, 9, 13, 27, 39, 81, 97, 117, 243, 291, 351, 873, 1053, 1261, 2619, 3159, 3783, 7857, 11349, 23571, 34047, 102141, 306423

Least Common Multiple of 306416 and 306423 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 306423, than apply into the LCM equation.

GCF(306416,306423) = 1
LCM(306416,306423) = ( 306416 × 306423) / 1
LCM(306416,306423) = 93892909968 / 1
LCM(306416,306423) = 93892909968

Properties of LCM 306416 and 306423

(i) The LCM of 306423 and 306416 is associative

LCM of 306416 and 306423 = LCM of 306423 and 306416

Related Least Common Multiples of 306416

Related Least Common Multiples of 306423

Frequently Asked Questions on LCM of 306416 and 306423

1. What is the LCM of 306416 and 306423?

Answer: LCM of 306416 and 306423 is 93892909968.

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 306423?

Answer: Factors of 306423 are 1, 3, 9, 13, 27, 39, 81, 97, 117, 243, 291, 351, 873, 1053, 1261, 2619, 3159, 3783, 7857, 11349, 23571, 34047, 102141, 306423. There are 24 integers that are factors of 306423. The greatest factor of 306423 is 306423.

4. How to Find the LCM of 306416 and 306423?

Answer:

Least Common Multiple of 306416 and 306423 = 93892909968

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 306423

306423 = 3 x 3 x 3 x 3 x 3 x 13 x 97

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

LCM = 93892909968 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 11 x 13 x 97 x 1741

Step 4: Therefore, the least common multiple of 306416 and 306423 is 93892909968.