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What is the Least Common Multiple of 88912 and 88927?

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 88912 and 88927 is 7906677424.

LCM(88912,88927) = 7906677424

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Least Common Multiple of 88912 and 88927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88912 and 88927, than apply into the LCM equation.

GCF(88912,88927) = 1
LCM(88912,88927) = ( 88912 × 88927) / 1
LCM(88912,88927) = 7906677424 / 1
LCM(88912,88927) = 7906677424

Least Common Multiple (LCM) of 88912 and 88927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88912 and 88927. First we will calculate the prime factors of 88912 and 88927.

Prime Factorization of 88912

Prime factors of 88912 are 2, 5557. Prime factorization of 88912 in exponential form is:

88912 = 24 × 55571

Prime Factorization of 88927

Prime factors of 88927 are 17, 5231. Prime factorization of 88927 in exponential form is:

88927 = 171 × 52311

Now multiplying the highest exponent prime factors to calculate the LCM of 88912 and 88927.

LCM(88912,88927) = 24 × 55571 × 171 × 52311
LCM(88912,88927) = 7906677424