Least Common Multiple of 308410 and 308416

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 308416 the smallest integer that is 47559289280 that is divisible by both numbers.

Least Common Multiple (LCM) of 308410 and 308416 is 47559289280.

LCM(308410,308416) = 47559289280

LCM of 308410 and 308416

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

LCM of:
and

Least Common Multiple of 308410 and 308416

LCM of 308410 and 308416 is 47559289280

Least common multiple can be found by multiplying the highest exponent prime factors of 308410 and 308416. First we will calculate the prime factors of 308410 and 308416.

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 308416


2 308416
2 154208
2 77104
2 38552
2 19276
2 9638
61 4819
79 79
1

Prime factors of 308416 are 2, 61,79. Prime factorization of 308416 in exponential form is:

308416 = 26×611×791

Now multiplying the highest exponent prime factors to calculate the LCM of 308410 and 308416.

LCM(308410,308416) = 26×51×611×791×308411
LCM(308410,308416) = 47559289280

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 308416

List of positive integer factors of 308416 that divides 308416 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 79, 122, 158, 244, 316, 488, 632, 976, 1264, 1952, 2528, 3904, 4819, 5056, 9638, 19276, 38552, 77104, 154208, 308416

Least Common Multiple of 308410 and 308416 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 308416, than apply into the LCM equation.

GCF(308410,308416) = 2
LCM(308410,308416) = ( 308410 × 308416) / 2
LCM(308410,308416) = 95118578560 / 2
LCM(308410,308416) = 47559289280

Properties of LCM 308410 and 308416

(i) The LCM of 308416 and 308410 is associative

LCM of 308410 and 308416 = LCM of 308416 and 308410

Related Least Common Multiples of 308410

Related Least Common Multiples of 308416

Frequently Asked Questions on LCM of 308410 and 308416

1. What is the LCM of 308410 and 308416?

Answer: LCM of 308410 and 308416 is 47559289280.

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 308416?

Answer: Factors of 308416 are 1, 2, 4, 8, 16, 32, 61, 64, 79, 122, 158, 244, 316, 488, 632, 976, 1264, 1952, 2528, 3904, 4819, 5056, 9638, 19276, 38552, 77104, 154208, 308416. There are 28 integers that are factors of 308416. The greatest factor of 308416 is 308416.

4. How to Find the LCM of 308410 and 308416?

Answer:

Least Common Multiple of 308410 and 308416 = 47559289280

Step 1: Find the prime factorization of 308410

308410 = 2 x 5 x 30841

Step 2: Find the prime factorization of 308416

308416 = 2 x 2 x 2 x 2 x 2 x 2 x 61 x 79

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

LCM = 47559289280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 61 x 79 x 30841

Step 4: Therefore, the least common multiple of 308410 and 308416 is 47559289280.