What is the Least Common Multiple of 94018 and 94030?
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 94018 and 94030 is 4420256270.
LCM(94018,94030) = 4420256270
Least Common Multiple of 94018 and 94030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94018 and 94030, than apply into the LCM equation.
GCF(94018,94030) = 2
LCM(94018,94030) = ( 94018 × 94030) / 2
LCM(94018,94030) = 8840512540 / 2
LCM(94018,94030) = 4420256270
Least Common Multiple (LCM) of 94018 and 94030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94018 and 94030. First we will calculate the prime factors of 94018 and 94030.
Prime Factorization of 94018
Prime factors of 94018 are 2, 29, 1621. Prime factorization of 94018 in exponential form is:
94018 = 21 × 291 × 16211
Prime Factorization of 94030
Prime factors of 94030 are 2, 5, 9403. Prime factorization of 94030 in exponential form is:
94030 = 21 × 51 × 94031
Now multiplying the highest exponent prime factors to calculate the LCM of 94018 and 94030.
LCM(94018,94030) = 21 × 291 × 16211 × 51 × 94031
LCM(94018,94030) = 4420256270
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