Least Common Multiple of 307456 and 307463

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 307463 the smallest integer that is 94531344128 that is divisible by both numbers.

Least Common Multiple (LCM) of 307456 and 307463 is 94531344128.

LCM(307456,307463) = 94531344128

LCM of 307456 and 307463

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

LCM of:
and

Least Common Multiple of 307456 and 307463

LCM of 307456 and 307463 is 94531344128

Least common multiple can be found by multiplying the highest exponent prime factors of 307456 and 307463. First we will calculate the prime factors of 307456 and 307463.

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 307463


13 307463
67 23651
353 353
1

Prime factors of 307463 are 13, 67,353. Prime factorization of 307463 in exponential form is:

307463 = 131×671×3531

Now multiplying the highest exponent prime factors to calculate the LCM of 307456 and 307463.

LCM(307456,307463) = 28×131×671×3531×12011
LCM(307456,307463) = 94531344128

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 307463

List of positive integer factors of 307463 that divides 307463 without a remainder.

1, 13, 67, 353, 871, 4589, 23651, 307463

Least Common Multiple of 307456 and 307463 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 307463, than apply into the LCM equation.

GCF(307456,307463) = 1
LCM(307456,307463) = ( 307456 × 307463) / 1
LCM(307456,307463) = 94531344128 / 1
LCM(307456,307463) = 94531344128

Properties of LCM 307456 and 307463

(i) The LCM of 307463 and 307456 is associative

LCM of 307456 and 307463 = LCM of 307463 and 307456

Related Least Common Multiples of 307456

Related Least Common Multiples of 307463

Frequently Asked Questions on LCM of 307456 and 307463

1. What is the LCM of 307456 and 307463?

Answer: LCM of 307456 and 307463 is 94531344128.

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 307463?

Answer: Factors of 307463 are 1, 13, 67, 353, 871, 4589, 23651, 307463. There are 8 integers that are factors of 307463. The greatest factor of 307463 is 307463.

4. How to Find the LCM of 307456 and 307463?

Answer:

Least Common Multiple of 307456 and 307463 = 94531344128

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 307463

307463 = 13 x 67 x 353

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

LCM = 94531344128 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 67 x 353 x 1201

Step 4: Therefore, the least common multiple of 307456 and 307463 is 94531344128.