What is the Least Common Multiple of 90247 and 90254?
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 90247 and 90254 is 8145152738.
LCM(90247,90254) = 8145152738
Least Common Multiple of 90247 and 90254 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90247 and 90254, than apply into the LCM equation.
GCF(90247,90254) = 1
LCM(90247,90254) = ( 90247 × 90254) / 1
LCM(90247,90254) = 8145152738 / 1
LCM(90247,90254) = 8145152738
Least Common Multiple (LCM) of 90247 and 90254 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90247 and 90254. First we will calculate the prime factors of 90247 and 90254.
Prime Factorization of 90247
Prime factors of 90247 are 90247. Prime factorization of 90247 in exponential form is:
90247 = 902471
Prime Factorization of 90254
Prime factors of 90254 are 2, 45127. Prime factorization of 90254 in exponential form is:
90254 = 21 × 451271
Now multiplying the highest exponent prime factors to calculate the LCM of 90247 and 90254.
LCM(90247,90254) = 902471 × 21 × 451271
LCM(90247,90254) = 8145152738
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