What is the Least Common Multiple of 94781 and 94787?
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 94781 and 94787 is 8984006647.
LCM(94781,94787) = 8984006647
Least Common Multiple of 94781 and 94787 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94781 and 94787, than apply into the LCM equation.
GCF(94781,94787) = 1
LCM(94781,94787) = ( 94781 × 94787) / 1
LCM(94781,94787) = 8984006647 / 1
LCM(94781,94787) = 8984006647
Least Common Multiple (LCM) of 94781 and 94787 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94781 and 94787. First we will calculate the prime factors of 94781 and 94787.
Prime Factorization of 94781
Prime factors of 94781 are 94781. Prime factorization of 94781 in exponential form is:
94781 = 947811
Prime Factorization of 94787
Prime factors of 94787 are 7, 11, 1231. Prime factorization of 94787 in exponential form is:
94787 = 71 × 111 × 12311
Now multiplying the highest exponent prime factors to calculate the LCM of 94781 and 94787.
LCM(94781,94787) = 947811 × 71 × 111 × 12311
LCM(94781,94787) = 8984006647
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