What is the Least Common Multiple of 94706 and 94725?
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 94706 and 94725 is 8971025850.
LCM(94706,94725) = 8971025850
Least Common Multiple of 94706 and 94725 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94706 and 94725, than apply into the LCM equation.
GCF(94706,94725) = 1
LCM(94706,94725) = ( 94706 × 94725) / 1
LCM(94706,94725) = 8971025850 / 1
LCM(94706,94725) = 8971025850
Least Common Multiple (LCM) of 94706 and 94725 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94706 and 94725. First we will calculate the prime factors of 94706 and 94725.
Prime Factorization of 94706
Prime factors of 94706 are 2, 47353. Prime factorization of 94706 in exponential form is:
94706 = 21 × 473531
Prime Factorization of 94725
Prime factors of 94725 are 3, 5, 421. Prime factorization of 94725 in exponential form is:
94725 = 32 × 52 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 94706 and 94725.
LCM(94706,94725) = 21 × 473531 × 32 × 52 × 4211
LCM(94706,94725) = 8971025850
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