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What is the Least Common Multiple of 88618 and 88622?

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 88618 and 88622 is 3926752198.

LCM(88618,88622) = 3926752198

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Least Common Multiple of 88618 and 88622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88618 and 88622, than apply into the LCM equation.

GCF(88618,88622) = 2
LCM(88618,88622) = ( 88618 × 88622) / 2
LCM(88618,88622) = 7853504396 / 2
LCM(88618,88622) = 3926752198

Least Common Multiple (LCM) of 88618 and 88622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88618 and 88622. First we will calculate the prime factors of 88618 and 88622.

Prime Factorization of 88618

Prime factors of 88618 are 2, 59, 751. Prime factorization of 88618 in exponential form is:

88618 = 21 × 591 × 7511

Prime Factorization of 88622

Prime factors of 88622 are 2, 73, 607. Prime factorization of 88622 in exponential form is:

88622 = 21 × 731 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 88618 and 88622.

LCM(88618,88622) = 21 × 591 × 7511 × 731 × 6071
LCM(88618,88622) = 3926752198