Least Common Multiple of 42051 and 42059

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

• Least Common Multiple of 42051 and 42059 by Prime method
• Least Common Multiple of 42051 and 42059 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 42051 and 42059. First we will calculate the prime factors of 42051 and 42059.

Prime Factorization of 42051

Prime factors of 42051 are 3, 107,131. Prime factorization of 42051 in exponential form is:

42051 = 3¹×107¹×131¹

Prime Factorization of 42059

Prime factors of 42059 are 137,307. Prime factorization of 42059 in exponential form is:

42059 = 137¹×307¹

Now multiplying the highest exponent prime factors to calculate the LCM of 42051 and 42059.

LCM(42051,42059) = 3¹×107¹×131¹×137¹×307¹
LCM(42051,42059) = 1768623009

Factors of 42051

List of positive integer factors of 42051 that divides 42051 without a remainder.

1, 3, 107, 131, 321, 393, 14017, 42051

Factors of 42059

List of positive integer factors of 42059 that divides 42059 without a remainder.

1, 137, 307, 42059

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42051 and 42059, than apply into the LCM equation.

GCF(42051,42059) = 1
LCM(42051,42059) = ( 42051 × 42059) / 1
LCM(42051,42059) = 1768623009 / 1
LCM(42051,42059) = 1768623009

(i) The LCM of 42059 and 42051 is associative

LCM of 42051 and 42059 = LCM of 42059 and 42051

1. What is the LCM of 42051 and 42059?

Answer: LCM of 42051 and 42059 is 1768623009.

2. What are the Factors of 42051?

Answer: Factors of 42051 are 1, 3, 107, 131, 321, 393, 14017, 42051. There are 8 integers that are factors of 42051. The greatest factor of 42051 is 42051.

3. What are the Factors of 42059?

Answer: Factors of 42059 are 1, 137, 307, 42059. There are 4 integers that are factors of 42059. The greatest factor of 42059 is 42059.

4. How to Find the LCM of 42051 and 42059?

Answer:

Least Common Multiple of 42051 and 42059 = 1768623009

Step 1: Find the prime factorization of 42051

42051 = 3 x 107 x 131

Step 2: Find the prime factorization of 42059

42059 = 137 x 307

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

LCM = 1768623009 = 3 x 107 x 131 x 137 x 307

Step 4: Therefore, the least common multiple of 42051 and 42059 is 1768623009.