What is the Least Common Multiple of 90847 and 90851?
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 90847 and 90851 is 8253540797.
LCM(90847,90851) = 8253540797
Least Common Multiple of 90847 and 90851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90847 and 90851, than apply into the LCM equation.
GCF(90847,90851) = 1
LCM(90847,90851) = ( 90847 × 90851) / 1
LCM(90847,90851) = 8253540797 / 1
LCM(90847,90851) = 8253540797
Least Common Multiple (LCM) of 90847 and 90851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90847 and 90851. First we will calculate the prime factors of 90847 and 90851.
Prime Factorization of 90847
Prime factors of 90847 are 90847. Prime factorization of 90847 in exponential form is:
90847 = 908471
Prime Factorization of 90851
Prime factors of 90851 are 47, 1933. Prime factorization of 90851 in exponential form is:
90851 = 471 × 19331
Now multiplying the highest exponent prime factors to calculate the LCM of 90847 and 90851.
LCM(90847,90851) = 908471 × 471 × 19331
LCM(90847,90851) = 8253540797
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