What is the Least Common Multiple of 94371 and 94387?
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 94371 and 94387 is 8907395577.
LCM(94371,94387) = 8907395577
Least Common Multiple of 94371 and 94387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94371 and 94387, than apply into the LCM equation.
GCF(94371,94387) = 1
LCM(94371,94387) = ( 94371 × 94387) / 1
LCM(94371,94387) = 8907395577 / 1
LCM(94371,94387) = 8907395577
Least Common Multiple (LCM) of 94371 and 94387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94371 and 94387. First we will calculate the prime factors of 94371 and 94387.
Prime Factorization of 94371
Prime factors of 94371 are 3, 83, 379. Prime factorization of 94371 in exponential form is:
94371 = 31 × 831 × 3791
Prime Factorization of 94387
Prime factors of 94387 are 37, 2551. Prime factorization of 94387 in exponential form is:
94387 = 371 × 25511
Now multiplying the highest exponent prime factors to calculate the LCM of 94371 and 94387.
LCM(94371,94387) = 31 × 831 × 3791 × 371 × 25511
LCM(94371,94387) = 8907395577
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