Least Common Multiple of 146381 and 146386

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

• Least Common Multiple of 146381 and 146386 by Prime method
• Least Common Multiple of 146381 and 146386 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 146381 and 146386. First we will calculate the prime factors of 146381 and 146386.

Prime Factorization of 146381

Prime factors of 146381 are 146381. Prime factorization of 146381 in exponential form is:

146381 = 146381¹

Prime Factorization of 146386

Prime factors of 146386 are 2, 53,1381. Prime factorization of 146386 in exponential form is:

146386 = 2¹×53¹×1381¹

Now multiplying the highest exponent prime factors to calculate the LCM of 146381 and 146386.

LCM(146381,146386) = 2¹×53¹×1381¹×146381¹
LCM(146381,146386) = 21428129066

Factors of 146381

List of positive integer factors of 146381 that divides 146381 without a remainder.

1, 146381

Factors of 146386

List of positive integer factors of 146386 that divides 146386 without a remainder.

1, 2, 53, 106, 1381, 2762, 73193, 146386

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146381 and 146386, than apply into the LCM equation.

GCF(146381,146386) = 1
LCM(146381,146386) = ( 146381 × 146386) / 1
LCM(146381,146386) = 21428129066 / 1
LCM(146381,146386) = 21428129066

(i) The LCM of 146386 and 146381 is associative

LCM of 146381 and 146386 = LCM of 146386 and 146381

1. What is the LCM of 146381 and 146386?

Answer: LCM of 146381 and 146386 is 21428129066.

2. What are the Factors of 146381?

Answer: Factors of 146381 are 1, 146381. There are 2 integers that are factors of 146381. The greatest factor of 146381 is 146381.

3. What are the Factors of 146386?

Answer: Factors of 146386 are 1, 2, 53, 106, 1381, 2762, 73193, 146386. There are 8 integers that are factors of 146386. The greatest factor of 146386 is 146386.

4. How to Find the LCM of 146381 and 146386?

Answer:

Least Common Multiple of 146381 and 146386 = 21428129066

Step 1: Find the prime factorization of 146381

146381 = 146381

Step 2: Find the prime factorization of 146386

146386 = 2 x 53 x 1381

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

LCM = 21428129066 = 2 x 53 x 1381 x 146381

Step 4: Therefore, the least common multiple of 146381 and 146386 is 21428129066.