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What is the Least Common Multiple of 94757 and 94774?

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 94757 and 94774 is 8980499918.

LCM(94757,94774) = 8980499918

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Least Common Multiple of 94757 and 94774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94757 and 94774, than apply into the LCM equation.

GCF(94757,94774) = 1
LCM(94757,94774) = ( 94757 × 94774) / 1
LCM(94757,94774) = 8980499918 / 1
LCM(94757,94774) = 8980499918

Least Common Multiple (LCM) of 94757 and 94774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94757 and 94774. First we will calculate the prime factors of 94757 and 94774.

Prime Factorization of 94757

Prime factors of 94757 are 13, 37, 197. Prime factorization of 94757 in exponential form is:

94757 = 131 × 371 × 1971

Prime Factorization of 94774

Prime factors of 94774 are 2, 47387. Prime factorization of 94774 in exponential form is:

94774 = 21 × 473871

Now multiplying the highest exponent prime factors to calculate the LCM of 94757 and 94774.

LCM(94757,94774) = 131 × 371 × 1971 × 21 × 473871
LCM(94757,94774) = 8980499918