Least Common Multiple of 307434 and 307438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307434 and 307438 the smallest integer that is 47258447046 that is divisible by both numbers.

Least Common Multiple (LCM) of 307434 and 307438 is 47258447046.

LCM(307434,307438) = 47258447046

LCM of 307434 and 307438

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

LCM of:
and

Least Common Multiple of 307434 and 307438

LCM of 307434 and 307438 is 47258447046

Least common multiple can be found by multiplying the highest exponent prime factors of 307434 and 307438. First we will calculate the prime factors of 307434 and 307438.

Prime Factorization of 307434


2 307434
3 153717
51239 51239
1

Prime factors of 307434 are 2, 3,51239. Prime factorization of 307434 in exponential form is:

307434 = 21×31×512391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 307434 and 307438.

LCM(307434,307438) = 21×31×512391×1537191
LCM(307434,307438) = 47258447046

Factors of 307434

List of positive integer factors of 307434 that divides 307434 without a remainder.

1, 2, 3, 6, 51239, 102478, 153717, 307434

Factors of 307438

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

1, 2, 153719, 307438

Least Common Multiple of 307434 and 307438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307434 and 307438, than apply into the LCM equation.

GCF(307434,307438) = 2
LCM(307434,307438) = ( 307434 × 307438) / 2
LCM(307434,307438) = 94516894092 / 2
LCM(307434,307438) = 47258447046

Properties of LCM 307434 and 307438

(i) The LCM of 307438 and 307434 is associative

LCM of 307434 and 307438 = LCM of 307438 and 307434

Related Least Common Multiples of 307434

Related Least Common Multiples of 307438

Frequently Asked Questions on LCM of 307434 and 307438

1. What is the LCM of 307434 and 307438?

Answer: LCM of 307434 and 307438 is 47258447046.

2. What are the Factors of 307434?

Answer: Factors of 307434 are 1, 2, 3, 6, 51239, 102478, 153717, 307434. There are 8 integers that are factors of 307434. The greatest factor of 307434 is 307434.

3. 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.

4. How to Find the LCM of 307434 and 307438?

Answer:

Least Common Multiple of 307434 and 307438 = 47258447046

Step 1: Find the prime factorization of 307434

307434 = 2 x 3 x 51239

Step 2: Find the prime factorization of 307438

307438 = 2 x 153719

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

LCM = 47258447046 = 2 x 3 x 51239 x 153719

Step 4: Therefore, the least common multiple of 307434 and 307438 is 47258447046.