What is the Least Common Multiple of 94930 and 94934?
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 94930 and 94934 is 4506042310.
LCM(94930,94934) = 4506042310
Least Common Multiple of 94930 and 94934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94930 and 94934, than apply into the LCM equation.
GCF(94930,94934) = 2
LCM(94930,94934) = ( 94930 × 94934) / 2
LCM(94930,94934) = 9012084620 / 2
LCM(94930,94934) = 4506042310
Least Common Multiple (LCM) of 94930 and 94934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94930 and 94934. First we will calculate the prime factors of 94930 and 94934.
Prime Factorization of 94930
Prime factors of 94930 are 2, 5, 11, 863. Prime factorization of 94930 in exponential form is:
94930 = 21 × 51 × 111 × 8631
Prime Factorization of 94934
Prime factors of 94934 are 2, 7, 6781. Prime factorization of 94934 in exponential form is:
94934 = 21 × 71 × 67811
Now multiplying the highest exponent prime factors to calculate the LCM of 94930 and 94934.
LCM(94930,94934) = 21 × 51 × 111 × 8631 × 71 × 67811
LCM(94930,94934) = 4506042310
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