What is the Least Common Multiple of 94068 and 94073?
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 94068 and 94073 is 8849258964.
LCM(94068,94073) = 8849258964
Least Common Multiple of 94068 and 94073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94068 and 94073, than apply into the LCM equation.
GCF(94068,94073) = 1
LCM(94068,94073) = ( 94068 × 94073) / 1
LCM(94068,94073) = 8849258964 / 1
LCM(94068,94073) = 8849258964
Least Common Multiple (LCM) of 94068 and 94073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94068 and 94073. First we will calculate the prime factors of 94068 and 94073.
Prime Factorization of 94068
Prime factors of 94068 are 2, 3, 13, 67. Prime factorization of 94068 in exponential form is:
94068 = 22 × 33 × 131 × 671
Prime Factorization of 94073
Prime factors of 94073 are 7, 89, 151. Prime factorization of 94073 in exponential form is:
94073 = 71 × 891 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 94068 and 94073.
LCM(94068,94073) = 22 × 33 × 131 × 671 × 71 × 891 × 1511
LCM(94068,94073) = 8849258964
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