What is the Least Common Multiple of 94694 and 94709?
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 94694 and 94709 is 8968374046.
LCM(94694,94709) = 8968374046
Least Common Multiple of 94694 and 94709 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94694 and 94709, than apply into the LCM equation.
GCF(94694,94709) = 1
LCM(94694,94709) = ( 94694 × 94709) / 1
LCM(94694,94709) = 8968374046 / 1
LCM(94694,94709) = 8968374046
Least Common Multiple (LCM) of 94694 and 94709 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94694 and 94709. First we will calculate the prime factors of 94694 and 94709.
Prime Factorization of 94694
Prime factors of 94694 are 2, 113, 419. Prime factorization of 94694 in exponential form is:
94694 = 21 × 1131 × 4191
Prime Factorization of 94709
Prime factors of 94709 are 94709. Prime factorization of 94709 in exponential form is:
94709 = 947091
Now multiplying the highest exponent prime factors to calculate the LCM of 94694 and 94709.
LCM(94694,94709) = 21 × 1131 × 4191 × 947091
LCM(94694,94709) = 8968374046
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