What is the Least Common Multiple of 94195 and 94203?
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 94195 and 94203 is 8873451585.
LCM(94195,94203) = 8873451585
Least Common Multiple of 94195 and 94203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94195 and 94203, than apply into the LCM equation.
GCF(94195,94203) = 1
LCM(94195,94203) = ( 94195 × 94203) / 1
LCM(94195,94203) = 8873451585 / 1
LCM(94195,94203) = 8873451585
Least Common Multiple (LCM) of 94195 and 94203 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94195 and 94203. First we will calculate the prime factors of 94195 and 94203.
Prime Factorization of 94195
Prime factors of 94195 are 5, 18839. Prime factorization of 94195 in exponential form is:
94195 = 51 × 188391
Prime Factorization of 94203
Prime factors of 94203 are 3, 1163. Prime factorization of 94203 in exponential form is:
94203 = 34 × 11631
Now multiplying the highest exponent prime factors to calculate the LCM of 94195 and 94203.
LCM(94195,94203) = 51 × 188391 × 34 × 11631
LCM(94195,94203) = 8873451585
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