What is the Least Common Multiple of 94439 and 94455?
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 94439 and 94455 is 8920235745.
LCM(94439,94455) = 8920235745
Least Common Multiple of 94439 and 94455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94439 and 94455, than apply into the LCM equation.
GCF(94439,94455) = 1
LCM(94439,94455) = ( 94439 × 94455) / 1
LCM(94439,94455) = 8920235745 / 1
LCM(94439,94455) = 8920235745
Least Common Multiple (LCM) of 94439 and 94455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94439 and 94455. First we will calculate the prime factors of 94439 and 94455.
Prime Factorization of 94439
Prime factors of 94439 are 94439. Prime factorization of 94439 in exponential form is:
94439 = 944391
Prime Factorization of 94455
Prime factors of 94455 are 3, 5, 2099. Prime factorization of 94455 in exponential form is:
94455 = 32 × 51 × 20991
Now multiplying the highest exponent prime factors to calculate the LCM of 94439 and 94455.
LCM(94439,94455) = 944391 × 32 × 51 × 20991
LCM(94439,94455) = 8920235745
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