What is the Least Common Multiple of 42001 and 42008?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 42001 and 42008 is 1764378008.
LCM(42001,42008) = 1764378008
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
Least Common Multiple (LCM) of 42001 and 42008 with Primes
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
Prime factors of 42001 are 97, 433. Prime factorization of 42001 in exponential form is:
42001 = 971 × 4331
Prime Factorization of 42008
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) = 971 × 4331 × 23 × 591 × 891
LCM(42001,42008) = 1764378008
Related Least Common Multiples of 42001
- LCM of 42001 and 42005
- LCM of 42001 and 42006
- LCM of 42001 and 42007
- LCM of 42001 and 42008
- LCM of 42001 and 42009
- LCM of 42001 and 42010
- LCM of 42001 and 42011
- LCM of 42001 and 42012
- LCM of 42001 and 42013
- LCM of 42001 and 42014
- LCM of 42001 and 42015
- LCM of 42001 and 42016
- LCM of 42001 and 42017
- LCM of 42001 and 42018
- LCM of 42001 and 42019
- LCM of 42001 and 42020
- LCM of 42001 and 42021
Related Least Common Multiples of 42008
- LCM of 42008 and 42012
- LCM of 42008 and 42013
- LCM of 42008 and 42014
- LCM of 42008 and 42015
- LCM of 42008 and 42016
- LCM of 42008 and 42017
- LCM of 42008 and 42018
- LCM of 42008 and 42019
- LCM of 42008 and 42020
- LCM of 42008 and 42021
- LCM of 42008 and 42022
- LCM of 42008 and 42023
- LCM of 42008 and 42024
- LCM of 42008 and 42025
- LCM of 42008 and 42026
- LCM of 42008 and 42027
- LCM of 42008 and 42028