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What is the Least Common Multiple of 88619 and 88637?

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 88619 and 88637 is 7854922303.

LCM(88619,88637) = 7854922303

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Least Common Multiple of 88619 and 88637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88619 and 88637, than apply into the LCM equation.

GCF(88619,88637) = 1
LCM(88619,88637) = ( 88619 × 88637) / 1
LCM(88619,88637) = 7854922303 / 1
LCM(88619,88637) = 7854922303

Least Common Multiple (LCM) of 88619 and 88637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88619 and 88637. First we will calculate the prime factors of 88619 and 88637.

Prime Factorization of 88619

Prime factors of 88619 are 23, 3853. Prime factorization of 88619 in exponential form is:

88619 = 231 × 38531

Prime Factorization of 88637

Prime factors of 88637 are 151, 587. Prime factorization of 88637 in exponential form is:

88637 = 1511 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 88619 and 88637.

LCM(88619,88637) = 231 × 38531 × 1511 × 5871
LCM(88619,88637) = 7854922303