What is the Least Common Multiple of 94886 and 94899?
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 94886 and 94899 is 9004586514.
LCM(94886,94899) = 9004586514
Least Common Multiple of 94886 and 94899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94886 and 94899, than apply into the LCM equation.
GCF(94886,94899) = 1
LCM(94886,94899) = ( 94886 × 94899) / 1
LCM(94886,94899) = 9004586514 / 1
LCM(94886,94899) = 9004586514
Least Common Multiple (LCM) of 94886 and 94899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94886 and 94899. First we will calculate the prime factors of 94886 and 94899.
Prime Factorization of 94886
Prime factors of 94886 are 2, 11, 19, 227. Prime factorization of 94886 in exponential form is:
94886 = 21 × 111 × 191 × 2271
Prime Factorization of 94899
Prime factors of 94899 are 3, 7, 4519. Prime factorization of 94899 in exponential form is:
94899 = 31 × 71 × 45191
Now multiplying the highest exponent prime factors to calculate the LCM of 94886 and 94899.
LCM(94886,94899) = 21 × 111 × 191 × 2271 × 31 × 71 × 45191
LCM(94886,94899) = 9004586514
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