Least Common Multiple of 307450 and 307454

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 307454 the smallest integer that is 47263366150 that is divisible by both numbers.

Least Common Multiple (LCM) of 307450 and 307454 is 47263366150.

LCM(307450,307454) = 47263366150

LCM of 307450 and 307454

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

LCM of:
and

Least Common Multiple of 307450 and 307454

LCM of 307450 and 307454 is 47263366150

Least common multiple can be found by multiplying the highest exponent prime factors of 307450 and 307454. First we will calculate the prime factors of 307450 and 307454.

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 307454


2 307454
7 153727
21961 21961
1

Prime factors of 307454 are 2, 7,21961. Prime factorization of 307454 in exponential form is:

307454 = 21×71×219611

Now multiplying the highest exponent prime factors to calculate the LCM of 307450 and 307454.

LCM(307450,307454) = 21×52×71×111×131×431×219611
LCM(307450,307454) = 47263366150

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 307454

List of positive integer factors of 307454 that divides 307454 without a remainder.

1, 2, 7, 14, 21961, 43922, 153727, 307454

Least Common Multiple of 307450 and 307454 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 307454, than apply into the LCM equation.

GCF(307450,307454) = 2
LCM(307450,307454) = ( 307450 × 307454) / 2
LCM(307450,307454) = 94526732300 / 2
LCM(307450,307454) = 47263366150

Properties of LCM 307450 and 307454

(i) The LCM of 307454 and 307450 is associative

LCM of 307450 and 307454 = LCM of 307454 and 307450

Related Least Common Multiples of 307450

Related Least Common Multiples of 307454

Frequently Asked Questions on LCM of 307450 and 307454

1. What is the LCM of 307450 and 307454?

Answer: LCM of 307450 and 307454 is 47263366150.

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 307454?

Answer: Factors of 307454 are 1, 2, 7, 14, 21961, 43922, 153727, 307454. There are 8 integers that are factors of 307454. The greatest factor of 307454 is 307454.

4. How to Find the LCM of 307450 and 307454?

Answer:

Least Common Multiple of 307450 and 307454 = 47263366150

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 307454

307454 = 2 x 7 x 21961

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

LCM = 47263366150 = 2 x 5 x 5 x 7 x 11 x 13 x 43 x 21961

Step 4: Therefore, the least common multiple of 307450 and 307454 is 47263366150.