What is the Least Common Multiple of 94678 and 94689?
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 94678 and 94689 is 8964965142.
LCM(94678,94689) = 8964965142
Least Common Multiple of 94678 and 94689 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94678 and 94689, than apply into the LCM equation.
GCF(94678,94689) = 1
LCM(94678,94689) = ( 94678 × 94689) / 1
LCM(94678,94689) = 8964965142 / 1
LCM(94678,94689) = 8964965142
Least Common Multiple (LCM) of 94678 and 94689 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94678 and 94689. First we will calculate the prime factors of 94678 and 94689.
Prime Factorization of 94678
Prime factors of 94678 are 2, 47339. Prime factorization of 94678 in exponential form is:
94678 = 21 × 473391
Prime Factorization of 94689
Prime factors of 94689 are 3, 7, 167. Prime factorization of 94689 in exponential form is:
94689 = 34 × 71 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 94678 and 94689.
LCM(94678,94689) = 21 × 473391 × 34 × 71 × 1671
LCM(94678,94689) = 8964965142
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