What is the Least Common Multiple of 97004 and 97008?
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 97004 and 97008 is 2352541008.
LCM(97004,97008) = 2352541008
Least Common Multiple of 97004 and 97008 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97004 and 97008, than apply into the LCM equation.
GCF(97004,97008) = 4
LCM(97004,97008) = ( 97004 × 97008) / 4
LCM(97004,97008) = 9410164032 / 4
LCM(97004,97008) = 2352541008
Least Common Multiple (LCM) of 97004 and 97008 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97004 and 97008. First we will calculate the prime factors of 97004 and 97008.
Prime Factorization of 97004
Prime factors of 97004 are 2, 24251. Prime factorization of 97004 in exponential form is:
97004 = 22 × 242511
Prime Factorization of 97008
Prime factors of 97008 are 2, 3, 43, 47. Prime factorization of 97008 in exponential form is:
97008 = 24 × 31 × 431 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 97004 and 97008.
LCM(97004,97008) = 24 × 242511 × 31 × 431 × 471
LCM(97004,97008) = 2352541008
Related Least Common Multiples of 97004
- LCM of 97004 and 97008
- LCM of 97004 and 97009
- LCM of 97004 and 97010
- LCM of 97004 and 97011
- LCM of 97004 and 97012
- LCM of 97004 and 97013
- LCM of 97004 and 97014
- LCM of 97004 and 97015
- LCM of 97004 and 97016
- LCM of 97004 and 97017
- LCM of 97004 and 97018
- LCM of 97004 and 97019
- LCM of 97004 and 97020
- LCM of 97004 and 97021
- LCM of 97004 and 97022
- LCM of 97004 and 97023
- LCM of 97004 and 97024
Related Least Common Multiples of 97008
- LCM of 97008 and 97012
- LCM of 97008 and 97013
- LCM of 97008 and 97014
- LCM of 97008 and 97015
- LCM of 97008 and 97016
- LCM of 97008 and 97017
- LCM of 97008 and 97018
- LCM of 97008 and 97019
- LCM of 97008 and 97020
- LCM of 97008 and 97021
- LCM of 97008 and 97022
- LCM of 97008 and 97023
- LCM of 97008 and 97024
- LCM of 97008 and 97025
- LCM of 97008 and 97026
- LCM of 97008 and 97027
- LCM of 97008 and 97028