What is the Least Common Multiple of 90386 and 90390?
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 90386 and 90390 is 4084995270.
LCM(90386,90390) = 4084995270
Least Common Multiple of 90386 and 90390 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90386 and 90390, than apply into the LCM equation.
GCF(90386,90390) = 2
LCM(90386,90390) = ( 90386 × 90390) / 2
LCM(90386,90390) = 8169990540 / 2
LCM(90386,90390) = 4084995270
Least Common Multiple (LCM) of 90386 and 90390 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90386 and 90390. First we will calculate the prime factors of 90386 and 90390.
Prime Factorization of 90386
Prime factors of 90386 are 2, 43, 1051. Prime factorization of 90386 in exponential form is:
90386 = 21 × 431 × 10511
Prime Factorization of 90390
Prime factors of 90390 are 2, 3, 5, 23, 131. Prime factorization of 90390 in exponential form is:
90390 = 21 × 31 × 51 × 231 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 90386 and 90390.
LCM(90386,90390) = 21 × 431 × 10511 × 31 × 51 × 231 × 1311
LCM(90386,90390) = 4084995270
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