What is the Least Common Multiple of 94847 and 94854?
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 94847 and 94854 is 8996617338.
LCM(94847,94854) = 8996617338
Least Common Multiple of 94847 and 94854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94847 and 94854, than apply into the LCM equation.
GCF(94847,94854) = 1
LCM(94847,94854) = ( 94847 × 94854) / 1
LCM(94847,94854) = 8996617338 / 1
LCM(94847,94854) = 8996617338
Least Common Multiple (LCM) of 94847 and 94854 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94847 and 94854. First we will calculate the prime factors of 94847 and 94854.
Prime Factorization of 94847
Prime factors of 94847 are 94847. Prime factorization of 94847 in exponential form is:
94847 = 948471
Prime Factorization of 94854
Prime factors of 94854 are 2, 3, 15809. Prime factorization of 94854 in exponential form is:
94854 = 21 × 31 × 158091
Now multiplying the highest exponent prime factors to calculate the LCM of 94847 and 94854.
LCM(94847,94854) = 948471 × 21 × 31 × 158091
LCM(94847,94854) = 8996617338
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