Least Common Multiple of 308417 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 308417 and 308424 the smallest integer that is 95123204808 that is divisible by both numbers.

Least Common Multiple (LCM) of 308417 and 308424 is 95123204808.

LCM(308417,308424) = 95123204808

LCM of 308417 and 308424

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

LCM of:
and

Least Common Multiple of 308417 and 308424

LCM of 308417 and 308424 is 95123204808

Least common multiple can be found by multiplying the highest exponent prime factors of 308417 and 308424. First we will calculate the prime factors of 308417 and 308424.

Prime Factorization of 308417


179 308417
1723 1723
1

Prime factors of 308417 are 179,1723. Prime factorization of 308417 in exponential form is:

308417 = 1791×17231

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 308417 and 308424.

LCM(308417,308424) = 23×31×711×1791×1811×17231
LCM(308417,308424) = 95123204808

Factors of 308417

List of positive integer factors of 308417 that divides 308417 without a remainder.

1, 179, 1723, 308417

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 308417 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 308417 and 308424, than apply into the LCM equation.

GCF(308417,308424) = 1
LCM(308417,308424) = ( 308417 × 308424) / 1
LCM(308417,308424) = 95123204808 / 1
LCM(308417,308424) = 95123204808

Properties of LCM 308417 and 308424

(i) The LCM of 308424 and 308417 is associative

LCM of 308417 and 308424 = LCM of 308424 and 308417

Related Least Common Multiples of 308417

Related Least Common Multiples of 308424

Frequently Asked Questions on LCM of 308417 and 308424

1. What is the LCM of 308417 and 308424?

Answer: LCM of 308417 and 308424 is 95123204808.

2. What are the Factors of 308417?

Answer: Factors of 308417 are 1, 179, 1723, 308417. There are 4 integers that are factors of 308417. The greatest factor of 308417 is 308417.

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 308417 and 308424?

Answer:

Least Common Multiple of 308417 and 308424 = 95123204808

Step 1: Find the prime factorization of 308417

308417 = 179 x 1723

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 = 95123204808 = 2 x 2 x 2 x 3 x 71 x 179 x 181 x 1723

Step 4: Therefore, the least common multiple of 308417 and 308424 is 95123204808.