Least Common Multiple of 307448 and 307452

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 307452 the smallest integer that is 23631375624 that is divisible by both numbers.

Least Common Multiple (LCM) of 307448 and 307452 is 23631375624.

LCM(307448,307452) = 23631375624

LCM of 307448 and 307452

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

LCM of:
and

Least Common Multiple of 307448 and 307452

LCM of 307448 and 307452 is 23631375624

Least common multiple can be found by multiplying the highest exponent prime factors of 307448 and 307452. First we will calculate the prime factors of 307448 and 307452.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 307448 and 307452.

LCM(307448,307452) = 23×31×256211×384311
LCM(307448,307452) = 23631375624

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 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

Least Common Multiple of 307448 and 307452 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 307452, than apply into the LCM equation.

GCF(307448,307452) = 4
LCM(307448,307452) = ( 307448 × 307452) / 4
LCM(307448,307452) = 94525502496 / 4
LCM(307448,307452) = 23631375624

Properties of LCM 307448 and 307452

(i) The LCM of 307452 and 307448 is associative

LCM of 307448 and 307452 = LCM of 307452 and 307448

Related Least Common Multiples of 307448

Related Least Common Multiples of 307452

Frequently Asked Questions on LCM of 307448 and 307452

1. What is the LCM of 307448 and 307452?

Answer: LCM of 307448 and 307452 is 23631375624.

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 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.

4. How to Find the LCM of 307448 and 307452?

Answer:

Least Common Multiple of 307448 and 307452 = 23631375624

Step 1: Find the prime factorization of 307448

307448 = 2 x 2 x 2 x 38431

Step 2: Find the prime factorization of 307452

307452 = 2 x 2 x 3 x 25621

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

LCM = 23631375624 = 2 x 2 x 2 x 3 x 25621 x 38431

Step 4: Therefore, the least common multiple of 307448 and 307452 is 23631375624.