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What is the Least Common Multiple of 88583 and 88602?

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 88583 and 88602 is 7848630966.

LCM(88583,88602) = 7848630966

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Least Common Multiple of 88583 and 88602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88583 and 88602, than apply into the LCM equation.

GCF(88583,88602) = 1
LCM(88583,88602) = ( 88583 × 88602) / 1
LCM(88583,88602) = 7848630966 / 1
LCM(88583,88602) = 7848630966

Least Common Multiple (LCM) of 88583 and 88602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88583 and 88602. First we will calculate the prime factors of 88583 and 88602.

Prime Factorization of 88583

Prime factors of 88583 are 11, 8053. Prime factorization of 88583 in exponential form is:

88583 = 111 × 80531

Prime Factorization of 88602

Prime factors of 88602 are 2, 3, 14767. Prime factorization of 88602 in exponential form is:

88602 = 21 × 31 × 147671

Now multiplying the highest exponent prime factors to calculate the LCM of 88583 and 88602.

LCM(88583,88602) = 111 × 80531 × 21 × 31 × 147671
LCM(88583,88602) = 7848630966