What is the Least Common Multiple of 94387 and 94396?
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 94387 and 94396 is 8909755252.
LCM(94387,94396) = 8909755252
Least Common Multiple of 94387 and 94396 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94387 and 94396, than apply into the LCM equation.
GCF(94387,94396) = 1
LCM(94387,94396) = ( 94387 × 94396) / 1
LCM(94387,94396) = 8909755252 / 1
LCM(94387,94396) = 8909755252
Least Common Multiple (LCM) of 94387 and 94396 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94387 and 94396. First we will calculate the prime factors of 94387 and 94396.
Prime Factorization of 94387
Prime factors of 94387 are 37, 2551. Prime factorization of 94387 in exponential form is:
94387 = 371 × 25511
Prime Factorization of 94396
Prime factors of 94396 are 2, 23599. Prime factorization of 94396 in exponential form is:
94396 = 22 × 235991
Now multiplying the highest exponent prime factors to calculate the LCM of 94387 and 94396.
LCM(94387,94396) = 371 × 25511 × 22 × 235991
LCM(94387,94396) = 8909755252
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