Least Common Multiple of 310418 and 310422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310418 and 310422 the smallest integer that is 48180288198 that is divisible by both numbers.

Least Common Multiple (LCM) of 310418 and 310422 is 48180288198.

LCM(310418,310422) = 48180288198

LCM of 310418 and 310422

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

LCM of:
and

Least Common Multiple of 310418 and 310422

LCM of 310418 and 310422 is 48180288198

Least common multiple can be found by multiplying the highest exponent prime factors of 310418 and 310422. First we will calculate the prime factors of 310418 and 310422.

Prime Factorization of 310418


2 310418
155209 155209
1

Prime factors of 310418 are 2,155209. Prime factorization of 310418 in exponential form is:

310418 = 21×1552091

Prime Factorization of 310422


2 310422
3 155211
7 51737
19 7391
389 389
1

Prime factors of 310422 are 2, 3, 7, 19,389. Prime factorization of 310422 in exponential form is:

310422 = 21×31×71×191×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 310418 and 310422.

LCM(310418,310422) = 21×31×71×191×3891×1552091
LCM(310418,310422) = 48180288198

Factors of 310418

List of positive integer factors of 310418 that divides 310418 without a remainder.

1, 2, 155209, 310418

Factors of 310422

List of positive integer factors of 310422 that divides 310422 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 389, 399, 778, 798, 1167, 2334, 2723, 5446, 7391, 8169, 14782, 16338, 22173, 44346, 51737, 103474, 155211, 310422

Least Common Multiple of 310418 and 310422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310418 and 310422, than apply into the LCM equation.

GCF(310418,310422) = 2
LCM(310418,310422) = ( 310418 × 310422) / 2
LCM(310418,310422) = 96360576396 / 2
LCM(310418,310422) = 48180288198

Properties of LCM 310418 and 310422

(i) The LCM of 310422 and 310418 is associative

LCM of 310418 and 310422 = LCM of 310422 and 310418

Related Least Common Multiples of 310418

Related Least Common Multiples of 310422

Frequently Asked Questions on LCM of 310418 and 310422

1. What is the LCM of 310418 and 310422?

Answer: LCM of 310418 and 310422 is 48180288198.

2. What are the Factors of 310418?

Answer: Factors of 310418 are 1, 2, 155209, 310418. There are 4 integers that are factors of 310418. The greatest factor of 310418 is 310418.

3. What are the Factors of 310422?

Answer: Factors of 310422 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 389, 399, 778, 798, 1167, 2334, 2723, 5446, 7391, 8169, 14782, 16338, 22173, 44346, 51737, 103474, 155211, 310422. There are 32 integers that are factors of 310422. The greatest factor of 310422 is 310422.

4. How to Find the LCM of 310418 and 310422?

Answer:

Least Common Multiple of 310418 and 310422 = 48180288198

Step 1: Find the prime factorization of 310418

310418 = 2 x 155209

Step 2: Find the prime factorization of 310422

310422 = 2 x 3 x 7 x 19 x 389

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

LCM = 48180288198 = 2 x 3 x 7 x 19 x 389 x 155209

Step 4: Therefore, the least common multiple of 310418 and 310422 is 48180288198.