Least Common Multiple of 7301 and 7308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7301 and 7308 the smallest integer that is 7622244 that is divisible by both numbers.

Least Common Multiple (LCM) of 7301 and 7308 is 7622244.

LCM(7301,7308) = 7622244

LCM of 7301 and 7308

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

LCM of:
and

Least Common Multiple of 7301 and 7308

LCM of 7301 and 7308 is 7622244

Least common multiple can be found by multiplying the highest exponent prime factors of 7301 and 7308. First we will calculate the prime factors of 7301 and 7308.

Prime Factorization of 7301


7 7301
7 1043
149 149
1

Prime factors of 7301 are 7,149. Prime factorization of 7301 in exponential form is:

7301 = 72×1491

Prime Factorization of 7308


2 7308
2 3654
3 1827
3 609
7 203
29 29
1

Prime factors of 7308 are 2, 3, 7,29. Prime factorization of 7308 in exponential form is:

7308 = 22×32×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7301 and 7308.

LCM(7301,7308) = 22×32×72×291×1491
LCM(7301,7308) = 7622244

Factors of 7301

List of positive integer factors of 7301 that divides 7301 without a remainder.

1, 7, 49, 149, 1043, 7301

Factors of 7308

List of positive integer factors of 7308 that divides 7308 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308

Least Common Multiple of 7301 and 7308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7301 and 7308, than apply into the LCM equation.

GCF(7301,7308) = 7
LCM(7301,7308) = ( 7301 × 7308) / 7
LCM(7301,7308) = 53355708 / 7
LCM(7301,7308) = 7622244

Properties of LCM 7301 and 7308

(i) The LCM of 7308 and 7301 is associative

LCM of 7301 and 7308 = LCM of 7308 and 7301

Related Least Common Multiples of 7301

Related Least Common Multiples of 7308

Frequently Asked Questions on LCM of 7301 and 7308

1. What is the LCM of 7301 and 7308?

Answer: LCM of 7301 and 7308 is 7622244.

2. What are the Factors of 7301?

Answer: Factors of 7301 are 1, 7, 49, 149, 1043, 7301. There are 6 integers that are factors of 7301. The greatest factor of 7301 is 7301.

3. What are the Factors of 7308?

Answer: Factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308. There are 36 integers that are factors of 7308. The greatest factor of 7308 is 7308.

4. How to Find the LCM of 7301 and 7308?

Answer:

Least Common Multiple of 7301 and 7308 = 7622244

Step 1: Find the prime factorization of 7301

7301 = 7 x 7 x 149

Step 2: Find the prime factorization of 7308

7308 = 2 x 2 x 3 x 3 x 7 x 29

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

LCM = 7622244 = 2 x 2 x 3 x 3 x 7 x 7 x 29 x 149

Step 4: Therefore, the least common multiple of 7301 and 7308 is 7622244.