Least Common Multiple of 307450 and 307457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307450 and 307457 the smallest integer that is 94527654650 that is divisible by both numbers.

Least Common Multiple (LCM) of 307450 and 307457 is 94527654650.

LCM(307450,307457) = 94527654650

LCM of 307450 and 307457

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

LCM of:
and

Least Common Multiple of 307450 and 307457

LCM of 307450 and 307457 is 94527654650

Least common multiple can be found by multiplying the highest exponent prime factors of 307450 and 307457. First we will calculate the prime factors of 307450 and 307457.

Prime Factorization of 307450


2 307450
5 153725
5 30745
11 6149
13 559
43 43
1

Prime factors of 307450 are 2, 5, 11, 13,43. Prime factorization of 307450 in exponential form is:

307450 = 21×52×111×131×431

Prime Factorization of 307457


131 307457
2347 2347
1

Prime factors of 307457 are 131,2347. Prime factorization of 307457 in exponential form is:

307457 = 1311×23471

Now multiplying the highest exponent prime factors to calculate the LCM of 307450 and 307457.

LCM(307450,307457) = 21×52×111×131×431×1311×23471
LCM(307450,307457) = 94527654650

Factors of 307450

List of positive integer factors of 307450 that divides 307450 without a remainder.

1, 2, 5, 10, 11, 13, 22, 25, 26, 43, 50, 55, 65, 86, 110, 130, 143, 215, 275, 286, 325, 430, 473, 550, 559, 650, 715, 946, 1075, 1118, 1430, 2150, 2365, 2795, 3575, 4730, 5590, 6149, 7150, 11825, 12298, 13975, 23650, 27950, 30745, 61490, 153725, 307450

Factors of 307457

List of positive integer factors of 307457 that divides 307457 without a remainder.

1, 131, 2347, 307457

Least Common Multiple of 307450 and 307457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307450 and 307457, than apply into the LCM equation.

GCF(307450,307457) = 1
LCM(307450,307457) = ( 307450 × 307457) / 1
LCM(307450,307457) = 94527654650 / 1
LCM(307450,307457) = 94527654650

Properties of LCM 307450 and 307457

(i) The LCM of 307457 and 307450 is associative

LCM of 307450 and 307457 = LCM of 307457 and 307450

Related Least Common Multiples of 307450

Related Least Common Multiples of 307457

Frequently Asked Questions on LCM of 307450 and 307457

1. What is the LCM of 307450 and 307457?

Answer: LCM of 307450 and 307457 is 94527654650.

2. What are the Factors of 307450?

Answer: Factors of 307450 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 43, 50, 55, 65, 86, 110, 130, 143, 215, 275, 286, 325, 430, 473, 550, 559, 650, 715, 946, 1075, 1118, 1430, 2150, 2365, 2795, 3575, 4730, 5590, 6149, 7150, 11825, 12298, 13975, 23650, 27950, 30745, 61490, 153725, 307450. There are 48 integers that are factors of 307450. The greatest factor of 307450 is 307450.

3. What are the Factors of 307457?

Answer: Factors of 307457 are 1, 131, 2347, 307457. There are 4 integers that are factors of 307457. The greatest factor of 307457 is 307457.

4. How to Find the LCM of 307450 and 307457?

Answer:

Least Common Multiple of 307450 and 307457 = 94527654650

Step 1: Find the prime factorization of 307450

307450 = 2 x 5 x 5 x 11 x 13 x 43

Step 2: Find the prime factorization of 307457

307457 = 131 x 2347

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

LCM = 94527654650 = 2 x 5 x 5 x 11 x 13 x 43 x 131 x 2347

Step 4: Therefore, the least common multiple of 307450 and 307457 is 94527654650.