Least Common Multiple of 308418 and 308424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308418 and 308424 the smallest integer that is 15853918872 that is divisible by both numbers.

Least Common Multiple (LCM) of 308418 and 308424 is 15853918872.

LCM(308418,308424) = 15853918872

LCM of 308418 and 308424

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

LCM of:
and

Least Common Multiple of 308418 and 308424

LCM of 308418 and 308424 is 15853918872

Least common multiple can be found by multiplying the highest exponent prime factors of 308418 and 308424. First we will calculate the prime factors of 308418 and 308424.

Prime Factorization of 308418


2 308418
3 154209
11 51403
4673 4673
1

Prime factors of 308418 are 2, 3, 11,4673. Prime factorization of 308418 in exponential form is:

308418 = 21×31×111×46731

Prime Factorization of 308424


2 308424
2 154212
2 77106
3 38553
71 12851
181 181
1

Prime factors of 308424 are 2, 3, 71,181. Prime factorization of 308424 in exponential form is:

308424 = 23×31×711×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 308418 and 308424.

LCM(308418,308424) = 23×31×111×711×1811×46731
LCM(308418,308424) = 15853918872

Factors of 308418

List of positive integer factors of 308418 that divides 308418 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 4673, 9346, 14019, 28038, 51403, 102806, 154209, 308418

Factors of 308424

List of positive integer factors of 308424 that divides 308424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 181, 213, 284, 362, 426, 543, 568, 724, 852, 1086, 1448, 1704, 2172, 4344, 12851, 25702, 38553, 51404, 77106, 102808, 154212, 308424

Least Common Multiple of 308418 and 308424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308418 and 308424, than apply into the LCM equation.

GCF(308418,308424) = 6
LCM(308418,308424) = ( 308418 × 308424) / 6
LCM(308418,308424) = 95123513232 / 6
LCM(308418,308424) = 15853918872

Properties of LCM 308418 and 308424

(i) The LCM of 308424 and 308418 is associative

LCM of 308418 and 308424 = LCM of 308424 and 308418

Related Least Common Multiples of 308418

Related Least Common Multiples of 308424

Frequently Asked Questions on LCM of 308418 and 308424

1. What is the LCM of 308418 and 308424?

Answer: LCM of 308418 and 308424 is 15853918872.

2. What are the Factors of 308418?

Answer: Factors of 308418 are 1, 2, 3, 6, 11, 22, 33, 66, 4673, 9346, 14019, 28038, 51403, 102806, 154209, 308418. There are 16 integers that are factors of 308418. The greatest factor of 308418 is 308418.

3. What are the Factors of 308424?

Answer: Factors of 308424 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 181, 213, 284, 362, 426, 543, 568, 724, 852, 1086, 1448, 1704, 2172, 4344, 12851, 25702, 38553, 51404, 77106, 102808, 154212, 308424. There are 32 integers that are factors of 308424. The greatest factor of 308424 is 308424.

4. How to Find the LCM of 308418 and 308424?

Answer:

Least Common Multiple of 308418 and 308424 = 15853918872

Step 1: Find the prime factorization of 308418

308418 = 2 x 3 x 11 x 4673

Step 2: Find the prime factorization of 308424

308424 = 2 x 2 x 2 x 3 x 71 x 181

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

LCM = 15853918872 = 2 x 2 x 2 x 3 x 11 x 71 x 181 x 4673

Step 4: Therefore, the least common multiple of 308418 and 308424 is 15853918872.