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What is the Least Common Multiple of 94210 and 94227?

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 94210 and 94227 is 8877125670.

LCM(94210,94227) = 8877125670

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Least Common Multiple of 94210 and 94227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94210 and 94227, than apply into the LCM equation.

GCF(94210,94227) = 1
LCM(94210,94227) = ( 94210 × 94227) / 1
LCM(94210,94227) = 8877125670 / 1
LCM(94210,94227) = 8877125670

Least Common Multiple (LCM) of 94210 and 94227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94210 and 94227. First we will calculate the prime factors of 94210 and 94227.

Prime Factorization of 94210

Prime factors of 94210 are 2, 5, 9421. Prime factorization of 94210 in exponential form is:

94210 = 21 × 51 × 94211

Prime Factorization of 94227

Prime factors of 94227 are 3, 7, 641. Prime factorization of 94227 in exponential form is:

94227 = 31 × 72 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 94210 and 94227.

LCM(94210,94227) = 21 × 51 × 94211 × 31 × 72 × 6411
LCM(94210,94227) = 8877125670