What is the Least Common Multiple of 94411 and 94415?
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 94411 and 94415 is 8913814565.
LCM(94411,94415) = 8913814565
Least Common Multiple of 94411 and 94415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94411 and 94415, than apply into the LCM equation.
GCF(94411,94415) = 1
LCM(94411,94415) = ( 94411 × 94415) / 1
LCM(94411,94415) = 8913814565 / 1
LCM(94411,94415) = 8913814565
Least Common Multiple (LCM) of 94411 and 94415 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94411 and 94415. First we will calculate the prime factors of 94411 and 94415.
Prime Factorization of 94411
Prime factors of 94411 are 19, 4969. Prime factorization of 94411 in exponential form is:
94411 = 191 × 49691
Prime Factorization of 94415
Prime factors of 94415 are 5, 23, 821. Prime factorization of 94415 in exponential form is:
94415 = 51 × 231 × 8211
Now multiplying the highest exponent prime factors to calculate the LCM of 94411 and 94415.
LCM(94411,94415) = 191 × 49691 × 51 × 231 × 8211
LCM(94411,94415) = 8913814565
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