What is the Least Common Multiple of 94039 and 94051?
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 94039 and 94051 is 8844461989.
LCM(94039,94051) = 8844461989
Least Common Multiple of 94039 and 94051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94039 and 94051, than apply into the LCM equation.
GCF(94039,94051) = 1
LCM(94039,94051) = ( 94039 × 94051) / 1
LCM(94039,94051) = 8844461989 / 1
LCM(94039,94051) = 8844461989
Least Common Multiple (LCM) of 94039 and 94051 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94039 and 94051. First we will calculate the prime factors of 94039 and 94051.
Prime Factorization of 94039
Prime factors of 94039 are 11, 83, 103. Prime factorization of 94039 in exponential form is:
94039 = 111 × 831 × 1031
Prime Factorization of 94051
Prime factors of 94051 are 163, 577. Prime factorization of 94051 in exponential form is:
94051 = 1631 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 94039 and 94051.
LCM(94039,94051) = 111 × 831 × 1031 × 1631 × 5771
LCM(94039,94051) = 8844461989
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