What is the Least Common Multiple of 94342 and 94359?
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 94342 and 94359 is 8902016778.
LCM(94342,94359) = 8902016778
Least Common Multiple of 94342 and 94359 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94342 and 94359, than apply into the LCM equation.
GCF(94342,94359) = 1
LCM(94342,94359) = ( 94342 × 94359) / 1
LCM(94342,94359) = 8902016778 / 1
LCM(94342,94359) = 8902016778
Least Common Multiple (LCM) of 94342 and 94359 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94342 and 94359. First we will calculate the prime factors of 94342 and 94359.
Prime Factorization of 94342
Prime factors of 94342 are 2, 43, 1097. Prime factorization of 94342 in exponential form is:
94342 = 21 × 431 × 10971
Prime Factorization of 94359
Prime factors of 94359 are 3, 71, 443. Prime factorization of 94359 in exponential form is:
94359 = 31 × 711 × 4431
Now multiplying the highest exponent prime factors to calculate the LCM of 94342 and 94359.
LCM(94342,94359) = 21 × 431 × 10971 × 31 × 711 × 4431
LCM(94342,94359) = 8902016778
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