What is the Least Common Multiple of 90863 and 90876?
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 90863 and 90876 is 8257265988.
LCM(90863,90876) = 8257265988
Least Common Multiple of 90863 and 90876 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90863 and 90876, than apply into the LCM equation.
GCF(90863,90876) = 1
LCM(90863,90876) = ( 90863 × 90876) / 1
LCM(90863,90876) = 8257265988 / 1
LCM(90863,90876) = 8257265988
Least Common Multiple (LCM) of 90863 and 90876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90863 and 90876. First we will calculate the prime factors of 90863 and 90876.
Prime Factorization of 90863
Prime factors of 90863 are 90863. Prime factorization of 90863 in exponential form is:
90863 = 908631
Prime Factorization of 90876
Prime factors of 90876 are 2, 3, 7573. Prime factorization of 90876 in exponential form is:
90876 = 22 × 31 × 75731
Now multiplying the highest exponent prime factors to calculate the LCM of 90863 and 90876.
LCM(90863,90876) = 908631 × 22 × 31 × 75731
LCM(90863,90876) = 8257265988
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