Least Common Multiple of 42001 and 42008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 42001 and 42008 the smallest integer that is 1764378008 that is divisible by both numbers.

Least Common Multiple (LCM) of 42001 and 42008 is 1764378008.

LCM(42001,42008) = 1764378008

LCM of 42001 and 42008

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

LCM of:
and

Least Common Multiple of 42001 and 42008

LCM of 42001 and 42008 is 1764378008

Least common multiple can be found by multiplying the highest exponent prime factors of 42001 and 42008. First we will calculate the prime factors of 42001 and 42008.

Prime Factorization of 42001


97 42001
433 433
1

Prime factors of 42001 are 97,433. Prime factorization of 42001 in exponential form is:

42001 = 971×4331

Prime Factorization of 42008


2 42008
2 21004
2 10502
59 5251
89 89
1

Prime factors of 42008 are 2, 59,89. Prime factorization of 42008 in exponential form is:

42008 = 23×591×891

Now multiplying the highest exponent prime factors to calculate the LCM of 42001 and 42008.

LCM(42001,42008) = 23×591×891×971×4331
LCM(42001,42008) = 1764378008

Factors of 42001

List of positive integer factors of 42001 that divides 42001 without a remainder.

1, 97, 433, 42001

Factors of 42008

List of positive integer factors of 42008 that divides 42008 without a remainder.

1, 2, 4, 8, 59, 89, 118, 178, 236, 356, 472, 712, 5251, 10502, 21004, 42008

Least Common Multiple of 42001 and 42008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42001 and 42008, than apply into the LCM equation.

GCF(42001,42008) = 1
LCM(42001,42008) = ( 42001 × 42008) / 1
LCM(42001,42008) = 1764378008 / 1
LCM(42001,42008) = 1764378008

Properties of LCM 42001 and 42008

(i) The LCM of 42008 and 42001 is associative

LCM of 42001 and 42008 = LCM of 42008 and 42001

Related Least Common Multiples of 42001

Related Least Common Multiples of 42008

Frequently Asked Questions on LCM of 42001 and 42008

1. What is the LCM of 42001 and 42008?

Answer: LCM of 42001 and 42008 is 1764378008.

2. What are the Factors of 42001?

Answer: Factors of 42001 are 1, 97, 433, 42001. There are 4 integers that are factors of 42001. The greatest factor of 42001 is 42001.

3. What are the Factors of 42008?

Answer: Factors of 42008 are 1, 2, 4, 8, 59, 89, 118, 178, 236, 356, 472, 712, 5251, 10502, 21004, 42008. There are 16 integers that are factors of 42008. The greatest factor of 42008 is 42008.

4. How to Find the LCM of 42001 and 42008?

Answer:

Least Common Multiple of 42001 and 42008 = 1764378008

Step 1: Find the prime factorization of 42001

42001 = 97 x 433

Step 2: Find the prime factorization of 42008

42008 = 2 x 2 x 2 x 59 x 89

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

LCM = 1764378008 = 2 x 2 x 2 x 59 x 89 x 97 x 433

Step 4: Therefore, the least common multiple of 42001 and 42008 is 1764378008.