What is the Least Common Multiple of 94309 and 94320?
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 94309 and 94320 is 8895224880.
LCM(94309,94320) = 8895224880
Least Common Multiple of 94309 and 94320 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94309 and 94320, than apply into the LCM equation.
GCF(94309,94320) = 1
LCM(94309,94320) = ( 94309 × 94320) / 1
LCM(94309,94320) = 8895224880 / 1
LCM(94309,94320) = 8895224880
Least Common Multiple (LCM) of 94309 and 94320 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94309 and 94320. First we will calculate the prime factors of 94309 and 94320.
Prime Factorization of 94309
Prime factors of 94309 are 94309. Prime factorization of 94309 in exponential form is:
94309 = 943091
Prime Factorization of 94320
Prime factors of 94320 are 2, 3, 5, 131. Prime factorization of 94320 in exponential form is:
94320 = 24 × 32 × 51 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 94309 and 94320.
LCM(94309,94320) = 943091 × 24 × 32 × 51 × 1311
LCM(94309,94320) = 8895224880
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