Least Common Multiple of 307449 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 307449 and 307455 the smallest integer that is 31508910765 that is divisible by both numbers.

Least Common Multiple (LCM) of 307449 and 307455 is 31508910765.

LCM(307449,307455) = 31508910765

LCM of 307449 and 307455

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

LCM of:
and

Least Common Multiple of 307449 and 307455

LCM of 307449 and 307455 is 31508910765

Least common multiple can be found by multiplying the highest exponent prime factors of 307449 and 307455. First we will calculate the prime factors of 307449 and 307455.

Prime Factorization of 307449


3 307449
3 102483
3 34161
59 11387
193 193
1

Prime factors of 307449 are 3, 59,193. Prime factorization of 307449 in exponential form is:

307449 = 33×591×1931

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 307449 and 307455.

LCM(307449,307455) = 33×51×591×1031×1931×1991
LCM(307449,307455) = 31508910765

Factors of 307449

List of positive integer factors of 307449 that divides 307449 without a remainder.

1, 3, 9, 27, 59, 177, 193, 531, 579, 1593, 1737, 5211, 11387, 34161, 102483, 307449

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 307449 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 307449 and 307455, than apply into the LCM equation.

GCF(307449,307455) = 3
LCM(307449,307455) = ( 307449 × 307455) / 3
LCM(307449,307455) = 94526732295 / 3
LCM(307449,307455) = 31508910765

Properties of LCM 307449 and 307455

(i) The LCM of 307455 and 307449 is associative

LCM of 307449 and 307455 = LCM of 307455 and 307449

Related Least Common Multiples of 307449

Related Least Common Multiples of 307455

Frequently Asked Questions on LCM of 307449 and 307455

1. What is the LCM of 307449 and 307455?

Answer: LCM of 307449 and 307455 is 31508910765.

2. What are the Factors of 307449?

Answer: Factors of 307449 are 1, 3, 9, 27, 59, 177, 193, 531, 579, 1593, 1737, 5211, 11387, 34161, 102483, 307449. There are 16 integers that are factors of 307449. The greatest factor of 307449 is 307449.

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 307449 and 307455?

Answer:

Least Common Multiple of 307449 and 307455 = 31508910765

Step 1: Find the prime factorization of 307449

307449 = 3 x 3 x 3 x 59 x 193

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 = 31508910765 = 3 x 3 x 3 x 5 x 59 x 103 x 193 x 199

Step 4: Therefore, the least common multiple of 307449 and 307455 is 31508910765.