Least Common Multiple of 307448 and 307453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307448 and 307453 the smallest integer that is 94525809944 that is divisible by both numbers.

Least Common Multiple (LCM) of 307448 and 307453 is 94525809944.

LCM(307448,307453) = 94525809944

LCM of 307448 and 307453

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

LCM of:
and

Least Common Multiple of 307448 and 307453

LCM of 307448 and 307453 is 94525809944

Least common multiple can be found by multiplying the highest exponent prime factors of 307448 and 307453. First we will calculate the prime factors of 307448 and 307453.

Prime Factorization of 307448


2 307448
2 153724
2 76862
38431 38431
1

Prime factors of 307448 are 2,38431. Prime factorization of 307448 in exponential form is:

307448 = 23×384311

Prime Factorization of 307453


53 307453
5801 5801
1

Prime factors of 307453 are 53,5801. Prime factorization of 307453 in exponential form is:

307453 = 531×58011

Now multiplying the highest exponent prime factors to calculate the LCM of 307448 and 307453.

LCM(307448,307453) = 23×531×58011×384311
LCM(307448,307453) = 94525809944

Factors of 307448

List of positive integer factors of 307448 that divides 307448 without a remainder.

1, 2, 4, 8, 38431, 76862, 153724, 307448

Factors of 307453

List of positive integer factors of 307453 that divides 307453 without a remainder.

1, 53, 5801, 307453

Least Common Multiple of 307448 and 307453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307448 and 307453, than apply into the LCM equation.

GCF(307448,307453) = 1
LCM(307448,307453) = ( 307448 × 307453) / 1
LCM(307448,307453) = 94525809944 / 1
LCM(307448,307453) = 94525809944

Properties of LCM 307448 and 307453

(i) The LCM of 307453 and 307448 is associative

LCM of 307448 and 307453 = LCM of 307453 and 307448

Related Least Common Multiples of 307448

Related Least Common Multiples of 307453

Frequently Asked Questions on LCM of 307448 and 307453

1. What is the LCM of 307448 and 307453?

Answer: LCM of 307448 and 307453 is 94525809944.

2. What are the Factors of 307448?

Answer: Factors of 307448 are 1, 2, 4, 8, 38431, 76862, 153724, 307448. There are 8 integers that are factors of 307448. The greatest factor of 307448 is 307448.

3. What are the Factors of 307453?

Answer: Factors of 307453 are 1, 53, 5801, 307453. There are 4 integers that are factors of 307453. The greatest factor of 307453 is 307453.

4. How to Find the LCM of 307448 and 307453?

Answer:

Least Common Multiple of 307448 and 307453 = 94525809944

Step 1: Find the prime factorization of 307448

307448 = 2 x 2 x 2 x 38431

Step 2: Find the prime factorization of 307453

307453 = 53 x 5801

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

LCM = 94525809944 = 2 x 2 x 2 x 53 x 5801 x 38431

Step 4: Therefore, the least common multiple of 307448 and 307453 is 94525809944.