Least Common Multiple of 307406 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 307406 and 307410 the smallest integer that is 47249839230 that is divisible by both numbers.

Least Common Multiple (LCM) of 307406 and 307410 is 47249839230.

LCM(307406,307410) = 47249839230

LCM of 307406 and 307410

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

LCM of:
and

Least Common Multiple of 307406 and 307410

LCM of 307406 and 307410 is 47249839230

Least common multiple can be found by multiplying the highest exponent prime factors of 307406 and 307410. First we will calculate the prime factors of 307406 and 307410.

Prime Factorization of 307406


2 307406
11 153703
89 13973
157 157
1

Prime factors of 307406 are 2, 11, 89,157. Prime factorization of 307406 in exponential form is:

307406 = 21×111×891×1571

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 307406 and 307410.

LCM(307406,307410) = 21×31×51×111×891×1571×102471
LCM(307406,307410) = 47249839230

Factors of 307406

List of positive integer factors of 307406 that divides 307406 without a remainder.

1, 2, 11, 22, 89, 157, 178, 314, 979, 1727, 1958, 3454, 13973, 27946, 153703, 307406

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 307406 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 307406 and 307410, than apply into the LCM equation.

GCF(307406,307410) = 2
LCM(307406,307410) = ( 307406 × 307410) / 2
LCM(307406,307410) = 94499678460 / 2
LCM(307406,307410) = 47249839230

Properties of LCM 307406 and 307410

(i) The LCM of 307410 and 307406 is associative

LCM of 307406 and 307410 = LCM of 307410 and 307406

Related Least Common Multiples of 307406

Related Least Common Multiples of 307410

Frequently Asked Questions on LCM of 307406 and 307410

1. What is the LCM of 307406 and 307410?

Answer: LCM of 307406 and 307410 is 47249839230.

2. What are the Factors of 307406?

Answer: Factors of 307406 are 1, 2, 11, 22, 89, 157, 178, 314, 979, 1727, 1958, 3454, 13973, 27946, 153703, 307406. There are 16 integers that are factors of 307406. The greatest factor of 307406 is 307406.

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 307406 and 307410?

Answer:

Least Common Multiple of 307406 and 307410 = 47249839230

Step 1: Find the prime factorization of 307406

307406 = 2 x 11 x 89 x 157

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 = 47249839230 = 2 x 3 x 5 x 11 x 89 x 157 x 10247

Step 4: Therefore, the least common multiple of 307406 and 307410 is 47249839230.