What is the Least Common Multiple of 94190 and 94197?
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 94190 and 94197 is 8872415430.
LCM(94190,94197) = 8872415430
Least Common Multiple of 94190 and 94197 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94190 and 94197, than apply into the LCM equation.
GCF(94190,94197) = 1
LCM(94190,94197) = ( 94190 × 94197) / 1
LCM(94190,94197) = 8872415430 / 1
LCM(94190,94197) = 8872415430
Least Common Multiple (LCM) of 94190 and 94197 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94190 and 94197. First we will calculate the prime factors of 94190 and 94197.
Prime Factorization of 94190
Prime factors of 94190 are 2, 5, 9419. Prime factorization of 94190 in exponential form is:
94190 = 21 × 51 × 94191
Prime Factorization of 94197
Prime factors of 94197 are 3, 17, 1847. Prime factorization of 94197 in exponential form is:
94197 = 31 × 171 × 18471
Now multiplying the highest exponent prime factors to calculate the LCM of 94190 and 94197.
LCM(94190,94197) = 21 × 51 × 94191 × 31 × 171 × 18471
LCM(94190,94197) = 8872415430
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