Least Common Multiple of 308410 and 308418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 308410 and 308418 the smallest integer that is 47559597690 that is divisible by both numbers.

Least Common Multiple (LCM) of 308410 and 308418 is 47559597690.

LCM(308410,308418) = 47559597690

LCM of 308410 and 308418

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

LCM of:
and

Least Common Multiple of 308410 and 308418

LCM of 308410 and 308418 is 47559597690

Least common multiple can be found by multiplying the highest exponent prime factors of 308410 and 308418. First we will calculate the prime factors of 308410 and 308418.

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

Prime Factorization of 308418


2 308418
3 154209
11 51403
4673 4673
1

Prime factors of 308418 are 2, 3, 11,4673. Prime factorization of 308418 in exponential form is:

308418 = 21×31×111×46731

Now multiplying the highest exponent prime factors to calculate the LCM of 308410 and 308418.

LCM(308410,308418) = 21×31×51×111×46731×308411
LCM(308410,308418) = 47559597690

Factors of 308410

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

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

Factors of 308418

List of positive integer factors of 308418 that divides 308418 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 4673, 9346, 14019, 28038, 51403, 102806, 154209, 308418

Least Common Multiple of 308410 and 308418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308410 and 308418, than apply into the LCM equation.

GCF(308410,308418) = 2
LCM(308410,308418) = ( 308410 × 308418) / 2
LCM(308410,308418) = 95119195380 / 2
LCM(308410,308418) = 47559597690

Properties of LCM 308410 and 308418

(i) The LCM of 308418 and 308410 is associative

LCM of 308410 and 308418 = LCM of 308418 and 308410

Related Least Common Multiples of 308410

Related Least Common Multiples of 308418

Frequently Asked Questions on LCM of 308410 and 308418

1. What is the LCM of 308410 and 308418?

Answer: LCM of 308410 and 308418 is 47559597690.

2. 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.

3. What are the Factors of 308418?

Answer: Factors of 308418 are 1, 2, 3, 6, 11, 22, 33, 66, 4673, 9346, 14019, 28038, 51403, 102806, 154209, 308418. There are 16 integers that are factors of 308418. The greatest factor of 308418 is 308418.

4. How to Find the LCM of 308410 and 308418?

Answer:

Least Common Multiple of 308410 and 308418 = 47559597690

Step 1: Find the prime factorization of 308410

308410 = 2 x 5 x 30841

Step 2: Find the prime factorization of 308418

308418 = 2 x 3 x 11 x 4673

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

LCM = 47559597690 = 2 x 3 x 5 x 11 x 4673 x 30841

Step 4: Therefore, the least common multiple of 308410 and 308418 is 47559597690.