Least Common Multiple of 146361 and 146366

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

• Least Common Multiple of 146361 and 146366 by Prime method
• Least Common Multiple of 146361 and 146366 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 146361 and 146366. First we will calculate the prime factors of 146361 and 146366.

Prime Factorization of 146361

Prime factors of 146361 are 3,48787. Prime factorization of 146361 in exponential form is:

146361 = 3¹×48787¹

Prime Factorization of 146366

Prime factors of 146366 are 2, 11,6653. Prime factorization of 146366 in exponential form is:

146366 = 2¹×11¹×6653¹

Now multiplying the highest exponent prime factors to calculate the LCM of 146361 and 146366.

LCM(146361,146366) = 2¹×3¹×11¹×6653¹×48787¹
LCM(146361,146366) = 21422274126

Factors of 146361

List of positive integer factors of 146361 that divides 146361 without a remainder.

1, 3, 48787, 146361

Factors of 146366

List of positive integer factors of 146366 that divides 146366 without a remainder.

1, 2, 11, 22, 6653, 13306, 73183, 146366

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146361 and 146366, than apply into the LCM equation.

GCF(146361,146366) = 1
LCM(146361,146366) = ( 146361 × 146366) / 1
LCM(146361,146366) = 21422274126 / 1
LCM(146361,146366) = 21422274126

(i) The LCM of 146366 and 146361 is associative

LCM of 146361 and 146366 = LCM of 146366 and 146361

1. What is the LCM of 146361 and 146366?

Answer: LCM of 146361 and 146366 is 21422274126.

2. What are the Factors of 146361?

Answer: Factors of 146361 are 1, 3, 48787, 146361. There are 4 integers that are factors of 146361. The greatest factor of 146361 is 146361.

3. What are the Factors of 146366?

Answer: Factors of 146366 are 1, 2, 11, 22, 6653, 13306, 73183, 146366. There are 8 integers that are factors of 146366. The greatest factor of 146366 is 146366.

4. How to Find the LCM of 146361 and 146366?

Answer:

Least Common Multiple of 146361 and 146366 = 21422274126

Step 1: Find the prime factorization of 146361

146361 = 3 x 48787

Step 2: Find the prime factorization of 146366

146366 = 2 x 11 x 6653

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

LCM = 21422274126 = 2 x 3 x 11 x 6653 x 48787

Step 4: Therefore, the least common multiple of 146361 and 146366 is 21422274126.