Least Common Multiple of 307445 and 307450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307445 and 307450 the smallest integer that is 18904793050 that is divisible by both numbers.

Least Common Multiple (LCM) of 307445 and 307450 is 18904793050.

LCM(307445,307450) = 18904793050

LCM of 307445 and 307450

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

LCM of:
and

Least Common Multiple of 307445 and 307450

LCM of 307445 and 307450 is 18904793050

Least common multiple can be found by multiplying the highest exponent prime factors of 307445 and 307450. First we will calculate the prime factors of 307445 and 307450.

Prime Factorization of 307445


5 307445
17 61489
3617 3617
1

Prime factors of 307445 are 5, 17,3617. Prime factorization of 307445 in exponential form is:

307445 = 51×171×36171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 307445 and 307450.

LCM(307445,307450) = 21×52×111×131×171×431×36171
LCM(307445,307450) = 18904793050

Factors of 307445

List of positive integer factors of 307445 that divides 307445 without a remainder.

1, 5, 17, 85, 3617, 18085, 61489, 307445

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

Least Common Multiple of 307445 and 307450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307445 and 307450, than apply into the LCM equation.

GCF(307445,307450) = 5
LCM(307445,307450) = ( 307445 × 307450) / 5
LCM(307445,307450) = 94523965250 / 5
LCM(307445,307450) = 18904793050

Properties of LCM 307445 and 307450

(i) The LCM of 307450 and 307445 is associative

LCM of 307445 and 307450 = LCM of 307450 and 307445

Related Least Common Multiples of 307445

Related Least Common Multiples of 307450

Frequently Asked Questions on LCM of 307445 and 307450

1. What is the LCM of 307445 and 307450?

Answer: LCM of 307445 and 307450 is 18904793050.

2. What are the Factors of 307445?

Answer: Factors of 307445 are 1, 5, 17, 85, 3617, 18085, 61489, 307445. There are 8 integers that are factors of 307445. The greatest factor of 307445 is 307445.

3. 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.

4. How to Find the LCM of 307445 and 307450?

Answer:

Least Common Multiple of 307445 and 307450 = 18904793050

Step 1: Find the prime factorization of 307445

307445 = 5 x 17 x 3617

Step 2: Find the prime factorization of 307450

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

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

LCM = 18904793050 = 2 x 5 x 5 x 11 x 13 x 17 x 43 x 3617

Step 4: Therefore, the least common multiple of 307445 and 307450 is 18904793050.