Least Common Multiple of 307420 and 307427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307420 and 307427 the smallest integer that is 94509208340 that is divisible by both numbers.

Least Common Multiple (LCM) of 307420 and 307427 is 94509208340.

LCM(307420,307427) = 94509208340

LCM of 307420 and 307427

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

LCM of:
and

Least Common Multiple of 307420 and 307427

LCM of 307420 and 307427 is 94509208340

Least common multiple can be found by multiplying the highest exponent prime factors of 307420 and 307427. First we will calculate the prime factors of 307420 and 307427.

Prime Factorization of 307420


2 307420
2 153710
5 76855
19 15371
809 809
1

Prime factors of 307420 are 2, 5, 19,809. Prime factorization of 307420 in exponential form is:

307420 = 22×51×191×8091

Prime Factorization of 307427


31 307427
47 9917
211 211
1

Prime factors of 307427 are 31, 47,211. Prime factorization of 307427 in exponential form is:

307427 = 311×471×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 307420 and 307427.

LCM(307420,307427) = 22×51×191×311×471×2111×8091
LCM(307420,307427) = 94509208340

Factors of 307420

List of positive integer factors of 307420 that divides 307420 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380, 809, 1618, 3236, 4045, 8090, 15371, 16180, 30742, 61484, 76855, 153710, 307420

Factors of 307427

List of positive integer factors of 307427 that divides 307427 without a remainder.

1, 31, 47, 211, 1457, 6541, 9917, 307427

Least Common Multiple of 307420 and 307427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307420 and 307427, than apply into the LCM equation.

GCF(307420,307427) = 1
LCM(307420,307427) = ( 307420 × 307427) / 1
LCM(307420,307427) = 94509208340 / 1
LCM(307420,307427) = 94509208340

Properties of LCM 307420 and 307427

(i) The LCM of 307427 and 307420 is associative

LCM of 307420 and 307427 = LCM of 307427 and 307420

Related Least Common Multiples of 307420

Related Least Common Multiples of 307427

Frequently Asked Questions on LCM of 307420 and 307427

1. What is the LCM of 307420 and 307427?

Answer: LCM of 307420 and 307427 is 94509208340.

2. What are the Factors of 307420?

Answer: Factors of 307420 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380, 809, 1618, 3236, 4045, 8090, 15371, 16180, 30742, 61484, 76855, 153710, 307420. There are 24 integers that are factors of 307420. The greatest factor of 307420 is 307420.

3. What are the Factors of 307427?

Answer: Factors of 307427 are 1, 31, 47, 211, 1457, 6541, 9917, 307427. There are 8 integers that are factors of 307427. The greatest factor of 307427 is 307427.

4. How to Find the LCM of 307420 and 307427?

Answer:

Least Common Multiple of 307420 and 307427 = 94509208340

Step 1: Find the prime factorization of 307420

307420 = 2 x 2 x 5 x 19 x 809

Step 2: Find the prime factorization of 307427

307427 = 31 x 47 x 211

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

LCM = 94509208340 = 2 x 2 x 5 x 19 x 31 x 47 x 211 x 809

Step 4: Therefore, the least common multiple of 307420 and 307427 is 94509208340.