Least Common Multiple of 307452 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 307452 and 307456 the smallest integer that is 23631990528 that is divisible by both numbers.

Least Common Multiple (LCM) of 307452 and 307456 is 23631990528.

LCM(307452,307456) = 23631990528

LCM of 307452 and 307456

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

LCM of:
and

Least Common Multiple of 307452 and 307456

LCM of 307452 and 307456 is 23631990528

Least common multiple can be found by multiplying the highest exponent prime factors of 307452 and 307456. First we will calculate the prime factors of 307452 and 307456.

Prime Factorization of 307452


2 307452
2 153726
3 76863
25621 25621
1

Prime factors of 307452 are 2, 3,25621. Prime factorization of 307452 in exponential form is:

307452 = 22×31×256211

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 307452 and 307456.

LCM(307452,307456) = 28×31×12011×256211
LCM(307452,307456) = 23631990528

Factors of 307452

List of positive integer factors of 307452 that divides 307452 without a remainder.

1, 2, 3, 4, 6, 12, 25621, 51242, 76863, 102484, 153726, 307452

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 307452 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 307452 and 307456, than apply into the LCM equation.

GCF(307452,307456) = 4
LCM(307452,307456) = ( 307452 × 307456) / 4
LCM(307452,307456) = 94527962112 / 4
LCM(307452,307456) = 23631990528

Properties of LCM 307452 and 307456

(i) The LCM of 307456 and 307452 is associative

LCM of 307452 and 307456 = LCM of 307456 and 307452

Related Least Common Multiples of 307452

Related Least Common Multiples of 307456

Frequently Asked Questions on LCM of 307452 and 307456

1. What is the LCM of 307452 and 307456?

Answer: LCM of 307452 and 307456 is 23631990528.

2. What are the Factors of 307452?

Answer: Factors of 307452 are 1, 2, 3, 4, 6, 12, 25621, 51242, 76863, 102484, 153726, 307452. There are 12 integers that are factors of 307452. The greatest factor of 307452 is 307452.

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 307452 and 307456?

Answer:

Least Common Multiple of 307452 and 307456 = 23631990528

Step 1: Find the prime factorization of 307452

307452 = 2 x 2 x 3 x 25621

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 = 23631990528 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1201 x 25621

Step 4: Therefore, the least common multiple of 307452 and 307456 is 23631990528.