What is the Least Common Multiple of 90078 and 90085?
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 90078 and 90085 is 8114676630.
LCM(90078,90085) = 8114676630
Least Common Multiple of 90078 and 90085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90078 and 90085, than apply into the LCM equation.
GCF(90078,90085) = 1
LCM(90078,90085) = ( 90078 × 90085) / 1
LCM(90078,90085) = 8114676630 / 1
LCM(90078,90085) = 8114676630
Least Common Multiple (LCM) of 90078 and 90085 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90078 and 90085. First we will calculate the prime factors of 90078 and 90085.
Prime Factorization of 90078
Prime factors of 90078 are 2, 3, 15013. Prime factorization of 90078 in exponential form is:
90078 = 21 × 31 × 150131
Prime Factorization of 90085
Prime factors of 90085 are 5, 43, 419. Prime factorization of 90085 in exponential form is:
90085 = 51 × 431 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 90078 and 90085.
LCM(90078,90085) = 21 × 31 × 150131 × 51 × 431 × 4191
LCM(90078,90085) = 8114676630
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