Least Common Multiple of 307456 and 307460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307456 and 307460 the smallest integer that is 23632605440 that is divisible by both numbers.

Least Common Multiple (LCM) of 307456 and 307460 is 23632605440.

LCM(307456,307460) = 23632605440

LCM of 307456 and 307460

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

LCM of:
and

Least Common Multiple of 307456 and 307460

LCM of 307456 and 307460 is 23632605440

Least common multiple can be found by multiplying the highest exponent prime factors of 307456 and 307460. First we will calculate the prime factors of 307456 and 307460.

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

Prime Factorization of 307460


2 307460
2 153730
5 76865
15373 15373
1

Prime factors of 307460 are 2, 5,15373. Prime factorization of 307460 in exponential form is:

307460 = 22×51×153731

Now multiplying the highest exponent prime factors to calculate the LCM of 307456 and 307460.

LCM(307456,307460) = 28×51×12011×153731
LCM(307456,307460) = 23632605440

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

Factors of 307460

List of positive integer factors of 307460 that divides 307460 without a remainder.

1, 2, 4, 5, 10, 20, 15373, 30746, 61492, 76865, 153730, 307460

Least Common Multiple of 307456 and 307460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307456 and 307460, than apply into the LCM equation.

GCF(307456,307460) = 4
LCM(307456,307460) = ( 307456 × 307460) / 4
LCM(307456,307460) = 94530421760 / 4
LCM(307456,307460) = 23632605440

Properties of LCM 307456 and 307460

(i) The LCM of 307460 and 307456 is associative

LCM of 307456 and 307460 = LCM of 307460 and 307456

Related Least Common Multiples of 307456

Related Least Common Multiples of 307460

Frequently Asked Questions on LCM of 307456 and 307460

1. What is the LCM of 307456 and 307460?

Answer: LCM of 307456 and 307460 is 23632605440.

2. 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.

3. What are the Factors of 307460?

Answer: Factors of 307460 are 1, 2, 4, 5, 10, 20, 15373, 30746, 61492, 76865, 153730, 307460. There are 12 integers that are factors of 307460. The greatest factor of 307460 is 307460.

4. How to Find the LCM of 307456 and 307460?

Answer:

Least Common Multiple of 307456 and 307460 = 23632605440

Step 1: 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 2: Find the prime factorization of 307460

307460 = 2 x 2 x 5 x 15373

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

LCM = 23632605440 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 1201 x 15373

Step 4: Therefore, the least common multiple of 307456 and 307460 is 23632605440.