Least Common Multiple of 307435 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 307435 and 307438 the smallest integer that is 94517201530 that is divisible by both numbers.

Least Common Multiple (LCM) of 307435 and 307438 is 94517201530.

LCM(307435,307438) = 94517201530

LCM of 307435 and 307438

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

LCM of:
and

Least Common Multiple of 307435 and 307438

LCM of 307435 and 307438 is 94517201530

Least common multiple can be found by multiplying the highest exponent prime factors of 307435 and 307438. First we will calculate the prime factors of 307435 and 307438.

Prime Factorization of 307435


5 307435
61487 61487
1

Prime factors of 307435 are 5,61487. Prime factorization of 307435 in exponential form is:

307435 = 51×614871

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 307435 and 307438.

LCM(307435,307438) = 21×51×614871×1537191
LCM(307435,307438) = 94517201530

Factors of 307435

List of positive integer factors of 307435 that divides 307435 without a remainder.

1, 5, 61487, 307435

Factors of 307438

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

1, 2, 153719, 307438

Least Common Multiple of 307435 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 307435 and 307438, than apply into the LCM equation.

GCF(307435,307438) = 1
LCM(307435,307438) = ( 307435 × 307438) / 1
LCM(307435,307438) = 94517201530 / 1
LCM(307435,307438) = 94517201530

Properties of LCM 307435 and 307438

(i) The LCM of 307438 and 307435 is associative

LCM of 307435 and 307438 = LCM of 307438 and 307435

Related Least Common Multiples of 307435

Related Least Common Multiples of 307438

Frequently Asked Questions on LCM of 307435 and 307438

1. What is the LCM of 307435 and 307438?

Answer: LCM of 307435 and 307438 is 94517201530.

2. What are the Factors of 307435?

Answer: Factors of 307435 are 1, 5, 61487, 307435. There are 4 integers that are factors of 307435. The greatest factor of 307435 is 307435.

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 307435 and 307438?

Answer:

Least Common Multiple of 307435 and 307438 = 94517201530

Step 1: Find the prime factorization of 307435

307435 = 5 x 61487

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 = 94517201530 = 2 x 5 x 61487 x 153719

Step 4: Therefore, the least common multiple of 307435 and 307438 is 94517201530.