Least Common Multiple of 307448 and 307455

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 307455 the smallest integer that is 94526424840 that is divisible by both numbers.

Least Common Multiple (LCM) of 307448 and 307455 is 94526424840.

LCM(307448,307455) = 94526424840

LCM of 307448 and 307455

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

LCM of:
and

Least Common Multiple of 307448 and 307455

LCM of 307448 and 307455 is 94526424840

Least common multiple can be found by multiplying the highest exponent prime factors of 307448 and 307455. First we will calculate the prime factors of 307448 and 307455.

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 307455


3 307455
5 102485
103 20497
199 199
1

Prime factors of 307455 are 3, 5, 103,199. Prime factorization of 307455 in exponential form is:

307455 = 31×51×1031×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 307448 and 307455.

LCM(307448,307455) = 23×31×51×1031×1991×384311
LCM(307448,307455) = 94526424840

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 307455

List of positive integer factors of 307455 that divides 307455 without a remainder.

1, 3, 5, 15, 103, 199, 309, 515, 597, 995, 1545, 2985, 20497, 61491, 102485, 307455

Least Common Multiple of 307448 and 307455 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 307455, than apply into the LCM equation.

GCF(307448,307455) = 1
LCM(307448,307455) = ( 307448 × 307455) / 1
LCM(307448,307455) = 94526424840 / 1
LCM(307448,307455) = 94526424840

Properties of LCM 307448 and 307455

(i) The LCM of 307455 and 307448 is associative

LCM of 307448 and 307455 = LCM of 307455 and 307448

Related Least Common Multiples of 307448

Related Least Common Multiples of 307455

Frequently Asked Questions on LCM of 307448 and 307455

1. What is the LCM of 307448 and 307455?

Answer: LCM of 307448 and 307455 is 94526424840.

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 307455?

Answer: Factors of 307455 are 1, 3, 5, 15, 103, 199, 309, 515, 597, 995, 1545, 2985, 20497, 61491, 102485, 307455. There are 16 integers that are factors of 307455. The greatest factor of 307455 is 307455.

4. How to Find the LCM of 307448 and 307455?

Answer:

Least Common Multiple of 307448 and 307455 = 94526424840

Step 1: Find the prime factorization of 307448

307448 = 2 x 2 x 2 x 38431

Step 2: Find the prime factorization of 307455

307455 = 3 x 5 x 103 x 199

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

LCM = 94526424840 = 2 x 2 x 2 x 3 x 5 x 103 x 199 x 38431

Step 4: Therefore, the least common multiple of 307448 and 307455 is 94526424840.