Least Common Multiple of 307404 and 307410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 307404 and 307410 the smallest integer that is 15749843940 that is divisible by both numbers.

Least Common Multiple (LCM) of 307404 and 307410 is 15749843940.

LCM(307404,307410) = 15749843940

LCM of 307404 and 307410

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

LCM of:
and

Least Common Multiple of 307404 and 307410

LCM of 307404 and 307410 is 15749843940

Least common multiple can be found by multiplying the highest exponent prime factors of 307404 and 307410. First we will calculate the prime factors of 307404 and 307410.

Prime Factorization of 307404


2 307404
2 153702
3 76851
3 25617
8539 8539
1

Prime factors of 307404 are 2, 3,8539. Prime factorization of 307404 in exponential form is:

307404 = 22×32×85391

Prime Factorization of 307410


2 307410
3 153705
5 51235
10247 10247
1

Prime factors of 307410 are 2, 3, 5,10247. Prime factorization of 307410 in exponential form is:

307410 = 21×31×51×102471

Now multiplying the highest exponent prime factors to calculate the LCM of 307404 and 307410.

LCM(307404,307410) = 22×32×51×85391×102471
LCM(307404,307410) = 15749843940

Factors of 307404

List of positive integer factors of 307404 that divides 307404 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 8539, 17078, 25617, 34156, 51234, 76851, 102468, 153702, 307404

Factors of 307410

List of positive integer factors of 307410 that divides 307410 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 10247, 20494, 30741, 51235, 61482, 102470, 153705, 307410

Least Common Multiple of 307404 and 307410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307404 and 307410, than apply into the LCM equation.

GCF(307404,307410) = 6
LCM(307404,307410) = ( 307404 × 307410) / 6
LCM(307404,307410) = 94499063640 / 6
LCM(307404,307410) = 15749843940

Properties of LCM 307404 and 307410

(i) The LCM of 307410 and 307404 is associative

LCM of 307404 and 307410 = LCM of 307410 and 307404

Related Least Common Multiples of 307404

Related Least Common Multiples of 307410

Frequently Asked Questions on LCM of 307404 and 307410

1. What is the LCM of 307404 and 307410?

Answer: LCM of 307404 and 307410 is 15749843940.

2. What are the Factors of 307404?

Answer: Factors of 307404 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 8539, 17078, 25617, 34156, 51234, 76851, 102468, 153702, 307404. There are 18 integers that are factors of 307404. The greatest factor of 307404 is 307404.

3. What are the Factors of 307410?

Answer: Factors of 307410 are 1, 2, 3, 5, 6, 10, 15, 30, 10247, 20494, 30741, 51235, 61482, 102470, 153705, 307410. There are 16 integers that are factors of 307410. The greatest factor of 307410 is 307410.

4. How to Find the LCM of 307404 and 307410?

Answer:

Least Common Multiple of 307404 and 307410 = 15749843940

Step 1: Find the prime factorization of 307404

307404 = 2 x 2 x 3 x 3 x 8539

Step 2: Find the prime factorization of 307410

307410 = 2 x 3 x 5 x 10247

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

LCM = 15749843940 = 2 x 2 x 3 x 3 x 5 x 8539 x 10247

Step 4: Therefore, the least common multiple of 307404 and 307410 is 15749843940.