What is the Least Common Multiple of 90023 and 90031?
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 90023 and 90031 is 8104860713.
LCM(90023,90031) = 8104860713
Least Common Multiple of 90023 and 90031 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90023 and 90031, than apply into the LCM equation.
GCF(90023,90031) = 1
LCM(90023,90031) = ( 90023 × 90031) / 1
LCM(90023,90031) = 8104860713 / 1
LCM(90023,90031) = 8104860713
Least Common Multiple (LCM) of 90023 and 90031 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90023 and 90031. First we will calculate the prime factors of 90023 and 90031.
Prime Factorization of 90023
Prime factors of 90023 are 90023. Prime factorization of 90023 in exponential form is:
90023 = 900231
Prime Factorization of 90031
Prime factors of 90031 are 90031. Prime factorization of 90031 in exponential form is:
90031 = 900311
Now multiplying the highest exponent prime factors to calculate the LCM of 90023 and 90031.
LCM(90023,90031) = 900231 × 900311
LCM(90023,90031) = 8104860713
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