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What is the Least Common Multiple of 94984 and 95003?

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 94984 and 95003 is 9023764952.

LCM(94984,95003) = 9023764952

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Least Common Multiple of 94984 and 95003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94984 and 95003, than apply into the LCM equation.

GCF(94984,95003) = 1
LCM(94984,95003) = ( 94984 × 95003) / 1
LCM(94984,95003) = 9023764952 / 1
LCM(94984,95003) = 9023764952

Least Common Multiple (LCM) of 94984 and 95003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94984 and 95003. First we will calculate the prime factors of 94984 and 95003.

Prime Factorization of 94984

Prime factors of 94984 are 2, 31, 383. Prime factorization of 94984 in exponential form is:

94984 = 23 × 311 × 3831

Prime Factorization of 95003

Prime factors of 95003 are 95003. Prime factorization of 95003 in exponential form is:

95003 = 950031

Now multiplying the highest exponent prime factors to calculate the LCM of 94984 and 95003.

LCM(94984,95003) = 23 × 311 × 3831 × 950031
LCM(94984,95003) = 9023764952