Least Common Multiple of 307452 and 307460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307452 and 307460 the smallest integer that is 23632297980 that is divisible by both numbers.

Least Common Multiple (LCM) of 307452 and 307460 is 23632297980.

LCM(307452,307460) = 23632297980

LCM of 307452 and 307460

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

LCM of:
and

Least Common Multiple of 307452 and 307460

LCM of 307452 and 307460 is 23632297980

Least common multiple can be found by multiplying the highest exponent prime factors of 307452 and 307460. First we will calculate the prime factors of 307452 and 307460.

Prime Factorization of 307452


2 307452
2 153726
3 76863
25621 25621
1

Prime factors of 307452 are 2, 3,25621. Prime factorization of 307452 in exponential form is:

307452 = 22×31×256211

Prime Factorization of 307460


2 307460
2 153730
5 76865
15373 15373
1

Prime factors of 307460 are 2, 5,15373. Prime factorization of 307460 in exponential form is:

307460 = 22×51×153731

Now multiplying the highest exponent prime factors to calculate the LCM of 307452 and 307460.

LCM(307452,307460) = 22×31×51×153731×256211
LCM(307452,307460) = 23632297980

Factors of 307452

List of positive integer factors of 307452 that divides 307452 without a remainder.

1, 2, 3, 4, 6, 12, 25621, 51242, 76863, 102484, 153726, 307452

Factors of 307460

List of positive integer factors of 307460 that divides 307460 without a remainder.

1, 2, 4, 5, 10, 20, 15373, 30746, 61492, 76865, 153730, 307460

Least Common Multiple of 307452 and 307460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307452 and 307460, than apply into the LCM equation.

GCF(307452,307460) = 4
LCM(307452,307460) = ( 307452 × 307460) / 4
LCM(307452,307460) = 94529191920 / 4
LCM(307452,307460) = 23632297980

Properties of LCM 307452 and 307460

(i) The LCM of 307460 and 307452 is associative

LCM of 307452 and 307460 = LCM of 307460 and 307452

Related Least Common Multiples of 307452

Related Least Common Multiples of 307460

Frequently Asked Questions on LCM of 307452 and 307460

1. What is the LCM of 307452 and 307460?

Answer: LCM of 307452 and 307460 is 23632297980.

2. What are the Factors of 307452?

Answer: Factors of 307452 are 1, 2, 3, 4, 6, 12, 25621, 51242, 76863, 102484, 153726, 307452. There are 12 integers that are factors of 307452. The greatest factor of 307452 is 307452.

3. What are the Factors of 307460?

Answer: Factors of 307460 are 1, 2, 4, 5, 10, 20, 15373, 30746, 61492, 76865, 153730, 307460. There are 12 integers that are factors of 307460. The greatest factor of 307460 is 307460.

4. How to Find the LCM of 307452 and 307460?

Answer:

Least Common Multiple of 307452 and 307460 = 23632297980

Step 1: Find the prime factorization of 307452

307452 = 2 x 2 x 3 x 25621

Step 2: Find the prime factorization of 307460

307460 = 2 x 2 x 5 x 15373

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

LCM = 23632297980 = 2 x 2 x 3 x 5 x 15373 x 25621

Step 4: Therefore, the least common multiple of 307452 and 307460 is 23632297980.