Least Common Multiple of 307456 and 307462

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 307462 the smallest integer that is 47265518336 that is divisible by both numbers.

Least Common Multiple (LCM) of 307456 and 307462 is 47265518336.

LCM(307456,307462) = 47265518336

LCM of 307456 and 307462

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

LCM of:
and

Least Common Multiple of 307456 and 307462

LCM of 307456 and 307462 is 47265518336

Least common multiple can be found by multiplying the highest exponent prime factors of 307456 and 307462. First we will calculate the prime factors of 307456 and 307462.

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 307462


2 307462
17 153731
9043 9043
1

Prime factors of 307462 are 2, 17,9043. Prime factorization of 307462 in exponential form is:

307462 = 21×171×90431

Now multiplying the highest exponent prime factors to calculate the LCM of 307456 and 307462.

LCM(307456,307462) = 28×171×12011×90431
LCM(307456,307462) = 47265518336

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 307462

List of positive integer factors of 307462 that divides 307462 without a remainder.

1, 2, 17, 34, 9043, 18086, 153731, 307462

Least Common Multiple of 307456 and 307462 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 307462, than apply into the LCM equation.

GCF(307456,307462) = 2
LCM(307456,307462) = ( 307456 × 307462) / 2
LCM(307456,307462) = 94531036672 / 2
LCM(307456,307462) = 47265518336

Properties of LCM 307456 and 307462

(i) The LCM of 307462 and 307456 is associative

LCM of 307456 and 307462 = LCM of 307462 and 307456

Related Least Common Multiples of 307456

Related Least Common Multiples of 307462

Frequently Asked Questions on LCM of 307456 and 307462

1. What is the LCM of 307456 and 307462?

Answer: LCM of 307456 and 307462 is 47265518336.

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 307462?

Answer: Factors of 307462 are 1, 2, 17, 34, 9043, 18086, 153731, 307462. There are 8 integers that are factors of 307462. The greatest factor of 307462 is 307462.

4. How to Find the LCM of 307456 and 307462?

Answer:

Least Common Multiple of 307456 and 307462 = 47265518336

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 307462

307462 = 2 x 17 x 9043

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

LCM = 47265518336 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 1201 x 9043

Step 4: Therefore, the least common multiple of 307456 and 307462 is 47265518336.