Least Common Multiple of 308404 and 308410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308404 and 308410 the smallest integer that is 47557438820 that is divisible by both numbers.

Least Common Multiple (LCM) of 308404 and 308410 is 47557438820.

LCM(308404,308410) = 47557438820

LCM of 308404 and 308410

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

LCM of:
and

Least Common Multiple of 308404 and 308410

LCM of 308404 and 308410 is 47557438820

Least common multiple can be found by multiplying the highest exponent prime factors of 308404 and 308410. First we will calculate the prime factors of 308404 and 308410.

Prime Factorization of 308404


2 308404
2 154202
77101 77101
1

Prime factors of 308404 are 2,77101. Prime factorization of 308404 in exponential form is:

308404 = 22×771011

Prime Factorization of 308410


2 308410
5 154205
30841 30841
1

Prime factors of 308410 are 2, 5,30841. Prime factorization of 308410 in exponential form is:

308410 = 21×51×308411

Now multiplying the highest exponent prime factors to calculate the LCM of 308404 and 308410.

LCM(308404,308410) = 22×51×308411×771011
LCM(308404,308410) = 47557438820

Factors of 308404

List of positive integer factors of 308404 that divides 308404 without a remainder.

1, 2, 4, 77101, 154202, 308404

Factors of 308410

List of positive integer factors of 308410 that divides 308410 without a remainder.

1, 2, 5, 10, 30841, 61682, 154205, 308410

Least Common Multiple of 308404 and 308410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308404 and 308410, than apply into the LCM equation.

GCF(308404,308410) = 2
LCM(308404,308410) = ( 308404 × 308410) / 2
LCM(308404,308410) = 95114877640 / 2
LCM(308404,308410) = 47557438820

Properties of LCM 308404 and 308410

(i) The LCM of 308410 and 308404 is associative

LCM of 308404 and 308410 = LCM of 308410 and 308404

Related Least Common Multiples of 308404

Related Least Common Multiples of 308410

Frequently Asked Questions on LCM of 308404 and 308410

1. What is the LCM of 308404 and 308410?

Answer: LCM of 308404 and 308410 is 47557438820.

2. What are the Factors of 308404?

Answer: Factors of 308404 are 1, 2, 4, 77101, 154202, 308404. There are 6 integers that are factors of 308404. The greatest factor of 308404 is 308404.

3. What are the Factors of 308410?

Answer: Factors of 308410 are 1, 2, 5, 10, 30841, 61682, 154205, 308410. There are 8 integers that are factors of 308410. The greatest factor of 308410 is 308410.

4. How to Find the LCM of 308404 and 308410?

Answer:

Least Common Multiple of 308404 and 308410 = 47557438820

Step 1: Find the prime factorization of 308404

308404 = 2 x 2 x 77101

Step 2: Find the prime factorization of 308410

308410 = 2 x 5 x 30841

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

LCM = 47557438820 = 2 x 2 x 5 x 30841 x 77101

Step 4: Therefore, the least common multiple of 308404 and 308410 is 47557438820.