What is the Least Common Multiple of 94699 and 94704?
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 94699 and 94704 is 8968374096.
LCM(94699,94704) = 8968374096
Least Common Multiple of 94699 and 94704 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94699 and 94704, than apply into the LCM equation.
GCF(94699,94704) = 1
LCM(94699,94704) = ( 94699 × 94704) / 1
LCM(94699,94704) = 8968374096 / 1
LCM(94699,94704) = 8968374096
Least Common Multiple (LCM) of 94699 and 94704 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94699 and 94704. First we will calculate the prime factors of 94699 and 94704.
Prime Factorization of 94699
Prime factors of 94699 are 11, 8609. Prime factorization of 94699 in exponential form is:
94699 = 111 × 86091
Prime Factorization of 94704
Prime factors of 94704 are 2, 3, 1973. Prime factorization of 94704 in exponential form is:
94704 = 24 × 31 × 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 94699 and 94704.
LCM(94699,94704) = 111 × 86091 × 24 × 31 × 19731
LCM(94699,94704) = 8968374096
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