What is the Least Common Multiple of 94362 and 94379?
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 94362 and 94379 is 8905791198.
LCM(94362,94379) = 8905791198
Least Common Multiple of 94362 and 94379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94362 and 94379, than apply into the LCM equation.
GCF(94362,94379) = 1
LCM(94362,94379) = ( 94362 × 94379) / 1
LCM(94362,94379) = 8905791198 / 1
LCM(94362,94379) = 8905791198
Least Common Multiple (LCM) of 94362 and 94379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94362 and 94379. First we will calculate the prime factors of 94362 and 94379.
Prime Factorization of 94362
Prime factors of 94362 are 2, 3, 15727. Prime factorization of 94362 in exponential form is:
94362 = 21 × 31 × 157271
Prime Factorization of 94379
Prime factors of 94379 are 94379. Prime factorization of 94379 in exponential form is:
94379 = 943791
Now multiplying the highest exponent prime factors to calculate the LCM of 94362 and 94379.
LCM(94362,94379) = 21 × 31 × 157271 × 943791
LCM(94362,94379) = 8905791198
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