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What is the Least Common Multiple of 88854 and 88873?

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 88854 and 88873 is 7896721542.

LCM(88854,88873) = 7896721542

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Least Common Multiple of 88854 and 88873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88854 and 88873, than apply into the LCM equation.

GCF(88854,88873) = 1
LCM(88854,88873) = ( 88854 × 88873) / 1
LCM(88854,88873) = 7896721542 / 1
LCM(88854,88873) = 7896721542

Least Common Multiple (LCM) of 88854 and 88873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88854 and 88873. First we will calculate the prime factors of 88854 and 88873.

Prime Factorization of 88854

Prime factors of 88854 are 2, 3, 59, 251. Prime factorization of 88854 in exponential form is:

88854 = 21 × 31 × 591 × 2511

Prime Factorization of 88873

Prime factors of 88873 are 88873. Prime factorization of 88873 in exponential form is:

88873 = 888731

Now multiplying the highest exponent prime factors to calculate the LCM of 88854 and 88873.

LCM(88854,88873) = 21 × 31 × 591 × 2511 × 888731
LCM(88854,88873) = 7896721542