What is the Least Common Multiple of 94518 and 94527?
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 94518 and 94527 is 992722554.
LCM(94518,94527) = 992722554
Least Common Multiple of 94518 and 94527 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94518 and 94527, than apply into the LCM equation.
GCF(94518,94527) = 9
LCM(94518,94527) = ( 94518 × 94527) / 9
LCM(94518,94527) = 8934502986 / 9
LCM(94518,94527) = 992722554
Least Common Multiple (LCM) of 94518 and 94527 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94518 and 94527. First we will calculate the prime factors of 94518 and 94527.
Prime Factorization of 94518
Prime factors of 94518 are 2, 3, 59, 89. Prime factorization of 94518 in exponential form is:
94518 = 21 × 32 × 591 × 891
Prime Factorization of 94527
Prime factors of 94527 are 3, 389. Prime factorization of 94527 in exponential form is:
94527 = 35 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 94518 and 94527.
LCM(94518,94527) = 21 × 35 × 591 × 891 × 3891
LCM(94518,94527) = 992722554
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