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What is the Least Common Multiple of 94945 and 94954?

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 94945 and 94954 is 9015407530.

LCM(94945,94954) = 9015407530

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Least Common Multiple of 94945 and 94954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94945 and 94954, than apply into the LCM equation.

GCF(94945,94954) = 1
LCM(94945,94954) = ( 94945 × 94954) / 1
LCM(94945,94954) = 9015407530 / 1
LCM(94945,94954) = 9015407530

Least Common Multiple (LCM) of 94945 and 94954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94945 and 94954. First we will calculate the prime factors of 94945 and 94954.

Prime Factorization of 94945

Prime factors of 94945 are 5, 17, 1117. Prime factorization of 94945 in exponential form is:

94945 = 51 × 171 × 11171

Prime Factorization of 94954

Prime factors of 94954 are 2, 197, 241. Prime factorization of 94954 in exponential form is:

94954 = 21 × 1971 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 94945 and 94954.

LCM(94945,94954) = 51 × 171 × 11171 × 21 × 1971 × 2411
LCM(94945,94954) = 9015407530