Least Common Multiple of 307438 and 307446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307438 and 307446 the smallest integer that is 47260291674 that is divisible by both numbers.

Least Common Multiple (LCM) of 307438 and 307446 is 47260291674.

LCM(307438,307446) = 47260291674

LCM of 307438 and 307446

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

LCM of:
and

Least Common Multiple of 307438 and 307446

LCM of 307438 and 307446 is 47260291674

Least common multiple can be found by multiplying the highest exponent prime factors of 307438 and 307446. First we will calculate the prime factors of 307438 and 307446.

Prime Factorization of 307438


2 307438
153719 153719
1

Prime factors of 307438 are 2,153719. Prime factorization of 307438 in exponential form is:

307438 = 21×1537191

Prime Factorization of 307446


2 307446
3 153723
51241 51241
1

Prime factors of 307446 are 2, 3,51241. Prime factorization of 307446 in exponential form is:

307446 = 21×31×512411

Now multiplying the highest exponent prime factors to calculate the LCM of 307438 and 307446.

LCM(307438,307446) = 21×31×512411×1537191
LCM(307438,307446) = 47260291674

Factors of 307438

List of positive integer factors of 307438 that divides 307438 without a remainder.

1, 2, 153719, 307438

Factors of 307446

List of positive integer factors of 307446 that divides 307446 without a remainder.

1, 2, 3, 6, 51241, 102482, 153723, 307446

Least Common Multiple of 307438 and 307446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307438 and 307446, than apply into the LCM equation.

GCF(307438,307446) = 2
LCM(307438,307446) = ( 307438 × 307446) / 2
LCM(307438,307446) = 94520583348 / 2
LCM(307438,307446) = 47260291674

Properties of LCM 307438 and 307446

(i) The LCM of 307446 and 307438 is associative

LCM of 307438 and 307446 = LCM of 307446 and 307438

Related Least Common Multiples of 307438

Related Least Common Multiples of 307446

Frequently Asked Questions on LCM of 307438 and 307446

1. What is the LCM of 307438 and 307446?

Answer: LCM of 307438 and 307446 is 47260291674.

2. What are the Factors of 307438?

Answer: Factors of 307438 are 1, 2, 153719, 307438. There are 4 integers that are factors of 307438. The greatest factor of 307438 is 307438.

3. What are the Factors of 307446?

Answer: Factors of 307446 are 1, 2, 3, 6, 51241, 102482, 153723, 307446. There are 8 integers that are factors of 307446. The greatest factor of 307446 is 307446.

4. How to Find the LCM of 307438 and 307446?

Answer:

Least Common Multiple of 307438 and 307446 = 47260291674

Step 1: Find the prime factorization of 307438

307438 = 2 x 153719

Step 2: Find the prime factorization of 307446

307446 = 2 x 3 x 51241

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

LCM = 47260291674 = 2 x 3 x 51241 x 153719

Step 4: Therefore, the least common multiple of 307438 and 307446 is 47260291674.