Least Common Multiple of 308422 and 308427

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

• Least Common Multiple of 308422 and 308427 by Prime method
• Least Common Multiple of 308422 and 308427 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 308422 and 308427. First we will calculate the prime factors of 308422 and 308427.

Prime Factorization of 308422

Prime factors of 308422 are 2,154211. Prime factorization of 308422 in exponential form is:

308422 = 2¹×154211¹

Prime Factorization of 308427

Prime factors of 308427 are 3, 7, 19,773. Prime factorization of 308427 in exponential form is:

308427 = 3¹×7¹×19¹×773¹

Now multiplying the highest exponent prime factors to calculate the LCM of 308422 and 308427.

LCM(308422,308427) = 2¹×3¹×7¹×19¹×773¹×154211¹
LCM(308422,308427) = 95125672194

Factors of 308422

List of positive integer factors of 308422 that divides 308422 without a remainder.

1, 2, 154211, 308422

Factors of 308427

List of positive integer factors of 308427 that divides 308427 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399, 773, 2319, 5411, 14687, 16233, 44061, 102809, 308427

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308422 and 308427, than apply into the LCM equation.

GCF(308422,308427) = 1
LCM(308422,308427) = ( 308422 × 308427) / 1
LCM(308422,308427) = 95125672194 / 1
LCM(308422,308427) = 95125672194

(i) The LCM of 308427 and 308422 is associative

LCM of 308422 and 308427 = LCM of 308427 and 308422

1. What is the LCM of 308422 and 308427?

Answer: LCM of 308422 and 308427 is 95125672194.

2. What are the Factors of 308422?

Answer: Factors of 308422 are 1, 2, 154211, 308422. There are 4 integers that are factors of 308422. The greatest factor of 308422 is 308422.

3. What are the Factors of 308427?

Answer: Factors of 308427 are 1, 3, 7, 19, 21, 57, 133, 399, 773, 2319, 5411, 14687, 16233, 44061, 102809, 308427. There are 16 integers that are factors of 308427. The greatest factor of 308427 is 308427.

4. How to Find the LCM of 308422 and 308427?

Answer:

Least Common Multiple of 308422 and 308427 = 95125672194

Step 1: Find the prime factorization of 308422

308422 = 2 x 154211

Step 2: Find the prime factorization of 308427

308427 = 3 x 7 x 19 x 773

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

LCM = 95125672194 = 2 x 3 x 7 x 19 x 773 x 154211

Step 4: Therefore, the least common multiple of 308422 and 308427 is 95125672194.