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What is the Least Common Multiple of 88884 and 88897?

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 88884 and 88897 is 7901520948.

LCM(88884,88897) = 7901520948

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Least Common Multiple of 88884 and 88897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88884 and 88897, than apply into the LCM equation.

GCF(88884,88897) = 1
LCM(88884,88897) = ( 88884 × 88897) / 1
LCM(88884,88897) = 7901520948 / 1
LCM(88884,88897) = 7901520948

Least Common Multiple (LCM) of 88884 and 88897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88884 and 88897. First we will calculate the prime factors of 88884 and 88897.

Prime Factorization of 88884

Prime factors of 88884 are 2, 3, 823. Prime factorization of 88884 in exponential form is:

88884 = 22 × 33 × 8231

Prime Factorization of 88897

Prime factors of 88897 are 88897. Prime factorization of 88897 in exponential form is:

88897 = 888971

Now multiplying the highest exponent prime factors to calculate the LCM of 88884 and 88897.

LCM(88884,88897) = 22 × 33 × 8231 × 888971
LCM(88884,88897) = 7901520948