What is the Least Common Multiple of 94059 and 94067?
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 94059 and 94067 is 8847847953.
LCM(94059,94067) = 8847847953
Least Common Multiple of 94059 and 94067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94059 and 94067, than apply into the LCM equation.
GCF(94059,94067) = 1
LCM(94059,94067) = ( 94059 × 94067) / 1
LCM(94059,94067) = 8847847953 / 1
LCM(94059,94067) = 8847847953
Least Common Multiple (LCM) of 94059 and 94067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94059 and 94067. First we will calculate the prime factors of 94059 and 94067.
Prime Factorization of 94059
Prime factors of 94059 are 3, 7, 1493. Prime factorization of 94059 in exponential form is:
94059 = 32 × 71 × 14931
Prime Factorization of 94067
Prime factors of 94067 are 109, 863. Prime factorization of 94067 in exponential form is:
94067 = 1091 × 8631
Now multiplying the highest exponent prime factors to calculate the LCM of 94059 and 94067.
LCM(94059,94067) = 32 × 71 × 14931 × 1091 × 8631
LCM(94059,94067) = 8847847953
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