Least Common Multiple of 307448 and 307456

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 307456 the smallest integer that is 11815841536 that is divisible by both numbers.

Least Common Multiple (LCM) of 307448 and 307456 is 11815841536.

LCM(307448,307456) = 11815841536

LCM of 307448 and 307456

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

LCM of:
and

Least Common Multiple of 307448 and 307456

LCM of 307448 and 307456 is 11815841536

Least common multiple can be found by multiplying the highest exponent prime factors of 307448 and 307456. First we will calculate the prime factors of 307448 and 307456.

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 307456


2 307456
2 153728
2 76864
2 38432
2 19216
2 9608
2 4804
2 2402
1201 1201
1

Prime factors of 307456 are 2,1201. Prime factorization of 307456 in exponential form is:

307456 = 28×12011

Now multiplying the highest exponent prime factors to calculate the LCM of 307448 and 307456.

LCM(307448,307456) = 28×12011×384311
LCM(307448,307456) = 11815841536

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 307456

List of positive integer factors of 307456 that divides 307456 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 1201, 2402, 4804, 9608, 19216, 38432, 76864, 153728, 307456

Least Common Multiple of 307448 and 307456 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 307456, than apply into the LCM equation.

GCF(307448,307456) = 8
LCM(307448,307456) = ( 307448 × 307456) / 8
LCM(307448,307456) = 94526732288 / 8
LCM(307448,307456) = 11815841536

Properties of LCM 307448 and 307456

(i) The LCM of 307456 and 307448 is associative

LCM of 307448 and 307456 = LCM of 307456 and 307448

Related Least Common Multiples of 307448

Related Least Common Multiples of 307456

Frequently Asked Questions on LCM of 307448 and 307456

1. What is the LCM of 307448 and 307456?

Answer: LCM of 307448 and 307456 is 11815841536.

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 307456?

Answer: Factors of 307456 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 1201, 2402, 4804, 9608, 19216, 38432, 76864, 153728, 307456. There are 18 integers that are factors of 307456. The greatest factor of 307456 is 307456.

4. How to Find the LCM of 307448 and 307456?

Answer:

Least Common Multiple of 307448 and 307456 = 11815841536

Step 1: Find the prime factorization of 307448

307448 = 2 x 2 x 2 x 38431

Step 2: Find the prime factorization of 307456

307456 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1201

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

LCM = 11815841536 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 1201 x 38431

Step 4: Therefore, the least common multiple of 307448 and 307456 is 11815841536.