What is the Least Common Multiple of 90826 and 90845?
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 90826 and 90845 is 8251087970.
LCM(90826,90845) = 8251087970
Least Common Multiple of 90826 and 90845 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90826 and 90845, than apply into the LCM equation.
GCF(90826,90845) = 1
LCM(90826,90845) = ( 90826 × 90845) / 1
LCM(90826,90845) = 8251087970 / 1
LCM(90826,90845) = 8251087970
Least Common Multiple (LCM) of 90826 and 90845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90826 and 90845. First we will calculate the prime factors of 90826 and 90845.
Prime Factorization of 90826
Prime factors of 90826 are 2, 45413. Prime factorization of 90826 in exponential form is:
90826 = 21 × 454131
Prime Factorization of 90845
Prime factors of 90845 are 5, 18169. Prime factorization of 90845 in exponential form is:
90845 = 51 × 181691
Now multiplying the highest exponent prime factors to calculate the LCM of 90826 and 90845.
LCM(90826,90845) = 21 × 454131 × 51 × 181691
LCM(90826,90845) = 8251087970
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