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What is the Least Common Multiple of 94966 and 94975?

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 94966 and 94975 is 9019395850.

LCM(94966,94975) = 9019395850

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Least Common Multiple of 94966 and 94975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94966 and 94975, than apply into the LCM equation.

GCF(94966,94975) = 1
LCM(94966,94975) = ( 94966 × 94975) / 1
LCM(94966,94975) = 9019395850 / 1
LCM(94966,94975) = 9019395850

Least Common Multiple (LCM) of 94966 and 94975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94966 and 94975. First we will calculate the prime factors of 94966 and 94975.

Prime Factorization of 94966

Prime factors of 94966 are 2, 103, 461. Prime factorization of 94966 in exponential form is:

94966 = 21 × 1031 × 4611

Prime Factorization of 94975

Prime factors of 94975 are 5, 29, 131. Prime factorization of 94975 in exponential form is:

94975 = 52 × 291 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 94966 and 94975.

LCM(94966,94975) = 21 × 1031 × 4611 × 52 × 291 × 1311
LCM(94966,94975) = 9019395850