What is the Least Common Multiple of 90598 and 90618?
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 90598 and 90618 is 4104904782.
LCM(90598,90618) = 4104904782
Least Common Multiple of 90598 and 90618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90598 and 90618, than apply into the LCM equation.
GCF(90598,90618) = 2
LCM(90598,90618) = ( 90598 × 90618) / 2
LCM(90598,90618) = 8209809564 / 2
LCM(90598,90618) = 4104904782
Least Common Multiple (LCM) of 90598 and 90618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90598 and 90618. First we will calculate the prime factors of 90598 and 90618.
Prime Factorization of 90598
Prime factors of 90598 are 2, 97, 467. Prime factorization of 90598 in exponential form is:
90598 = 21 × 971 × 4671
Prime Factorization of 90618
Prime factors of 90618 are 2, 3, 11, 1373. Prime factorization of 90618 in exponential form is:
90618 = 21 × 31 × 111 × 13731
Now multiplying the highest exponent prime factors to calculate the LCM of 90598 and 90618.
LCM(90598,90618) = 21 × 971 × 4671 × 31 × 111 × 13731
LCM(90598,90618) = 4104904782
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