What is the Least Common Multiple of 96599 and 96618?
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 96599 and 96618 is 9333202182.
LCM(96599,96618) = 9333202182
Least Common Multiple of 96599 and 96618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96599 and 96618, than apply into the LCM equation.
GCF(96599,96618) = 1
LCM(96599,96618) = ( 96599 × 96618) / 1
LCM(96599,96618) = 9333202182 / 1
LCM(96599,96618) = 9333202182
Least Common Multiple (LCM) of 96599 and 96618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96599 and 96618. First we will calculate the prime factors of 96599 and 96618.
Prime Factorization of 96599
Prime factors of 96599 are 29, 3331. Prime factorization of 96599 in exponential form is:
96599 = 291 × 33311
Prime Factorization of 96618
Prime factors of 96618 are 2, 3, 16103. Prime factorization of 96618 in exponential form is:
96618 = 21 × 31 × 161031
Now multiplying the highest exponent prime factors to calculate the LCM of 96599 and 96618.
LCM(96599,96618) = 291 × 33311 × 21 × 31 × 161031
LCM(96599,96618) = 9333202182
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