What is the Least Common Multiple of 90911 and 90927?
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 90911 and 90927 is 8266264497.
LCM(90911,90927) = 8266264497
Least Common Multiple of 90911 and 90927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90911 and 90927, than apply into the LCM equation.
GCF(90911,90927) = 1
LCM(90911,90927) = ( 90911 × 90927) / 1
LCM(90911,90927) = 8266264497 / 1
LCM(90911,90927) = 8266264497
Least Common Multiple (LCM) of 90911 and 90927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90911 and 90927. First we will calculate the prime factors of 90911 and 90927.
Prime Factorization of 90911
Prime factors of 90911 are 90911. Prime factorization of 90911 in exponential form is:
90911 = 909111
Prime Factorization of 90927
Prime factors of 90927 are 3, 10103. Prime factorization of 90927 in exponential form is:
90927 = 32 × 101031
Now multiplying the highest exponent prime factors to calculate the LCM of 90911 and 90927.
LCM(90911,90927) = 909111 × 32 × 101031
LCM(90911,90927) = 8266264497
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