What is the Least Common Multiple of 90637 and 90641?
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 90637 and 90641 is 8215428317.
LCM(90637,90641) = 8215428317
Least Common Multiple of 90637 and 90641 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90637 and 90641, than apply into the LCM equation.
GCF(90637,90641) = 1
LCM(90637,90641) = ( 90637 × 90641) / 1
LCM(90637,90641) = 8215428317 / 1
LCM(90637,90641) = 8215428317
Least Common Multiple (LCM) of 90637 and 90641 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90637 and 90641. First we will calculate the prime factors of 90637 and 90641.
Prime Factorization of 90637
Prime factors of 90637 are 233, 389. Prime factorization of 90637 in exponential form is:
90637 = 2331 × 3891
Prime Factorization of 90641
Prime factors of 90641 are 90641. Prime factorization of 90641 in exponential form is:
90641 = 906411
Now multiplying the highest exponent prime factors to calculate the LCM of 90637 and 90641.
LCM(90637,90641) = 2331 × 3891 × 906411
LCM(90637,90641) = 8215428317
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