What is the Least Common Multiple of 94027 and 94032?
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 94027 and 94032 is 8841546864.
LCM(94027,94032) = 8841546864
Least Common Multiple of 94027 and 94032 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94027 and 94032, than apply into the LCM equation.
GCF(94027,94032) = 1
LCM(94027,94032) = ( 94027 × 94032) / 1
LCM(94027,94032) = 8841546864 / 1
LCM(94027,94032) = 8841546864
Least Common Multiple (LCM) of 94027 and 94032 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94027 and 94032. First we will calculate the prime factors of 94027 and 94032.
Prime Factorization of 94027
Prime factors of 94027 are 17, 5531. Prime factorization of 94027 in exponential form is:
94027 = 171 × 55311
Prime Factorization of 94032
Prime factors of 94032 are 2, 3, 653. Prime factorization of 94032 in exponential form is:
94032 = 24 × 32 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 94027 and 94032.
LCM(94027,94032) = 171 × 55311 × 24 × 32 × 6531
LCM(94027,94032) = 8841546864
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