What is the Least Common Multiple of 88612 and 88618?
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 88612 and 88618 is 3926309108.
LCM(88612,88618) = 3926309108
Least Common Multiple of 88612 and 88618 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88612 and 88618, than apply into the LCM equation.
GCF(88612,88618) = 2
LCM(88612,88618) = ( 88612 × 88618) / 2
LCM(88612,88618) = 7852618216 / 2
LCM(88612,88618) = 3926309108
Least Common Multiple (LCM) of 88612 and 88618 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88612 and 88618. First we will calculate the prime factors of 88612 and 88618.
Prime Factorization of 88612
Prime factors of 88612 are 2, 22153. Prime factorization of 88612 in exponential form is:
88612 = 22 × 221531
Prime Factorization of 88618
Prime factors of 88618 are 2, 59, 751. Prime factorization of 88618 in exponential form is:
88618 = 21 × 591 × 7511
Now multiplying the highest exponent prime factors to calculate the LCM of 88612 and 88618.
LCM(88612,88618) = 22 × 221531 × 591 × 7511
LCM(88612,88618) = 3926309108
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