What is the Least Common Multiple of 94026 and 94039?
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 94026 and 94039 is 8842111014.
LCM(94026,94039) = 8842111014
Least Common Multiple of 94026 and 94039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94026 and 94039, than apply into the LCM equation.
GCF(94026,94039) = 1
LCM(94026,94039) = ( 94026 × 94039) / 1
LCM(94026,94039) = 8842111014 / 1
LCM(94026,94039) = 8842111014
Least Common Multiple (LCM) of 94026 and 94039 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94026 and 94039. First we will calculate the prime factors of 94026 and 94039.
Prime Factorization of 94026
Prime factors of 94026 are 2, 3, 15671. Prime factorization of 94026 in exponential form is:
94026 = 21 × 31 × 156711
Prime Factorization of 94039
Prime factors of 94039 are 11, 83, 103. Prime factorization of 94039 in exponential form is:
94039 = 111 × 831 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 94026 and 94039.
LCM(94026,94039) = 21 × 31 × 156711 × 111 × 831 × 1031
LCM(94026,94039) = 8842111014
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