What is the Least Common Multiple of 94867 and 94884?
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 94867 and 94884 is 9001360428.
LCM(94867,94884) = 9001360428
Least Common Multiple of 94867 and 94884 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94867 and 94884, than apply into the LCM equation.
GCF(94867,94884) = 1
LCM(94867,94884) = ( 94867 × 94884) / 1
LCM(94867,94884) = 9001360428 / 1
LCM(94867,94884) = 9001360428
Least Common Multiple (LCM) of 94867 and 94884 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94867 and 94884. First we will calculate the prime factors of 94867 and 94884.
Prime Factorization of 94867
Prime factors of 94867 are 19, 4993. Prime factorization of 94867 in exponential form is:
94867 = 191 × 49931
Prime Factorization of 94884
Prime factors of 94884 are 2, 3, 7907. Prime factorization of 94884 in exponential form is:
94884 = 22 × 31 × 79071
Now multiplying the highest exponent prime factors to calculate the LCM of 94867 and 94884.
LCM(94867,94884) = 191 × 49931 × 22 × 31 × 79071
LCM(94867,94884) = 9001360428
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