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What is the Least Common Multiple of 94858 and 94866?

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 94858 and 94866 is 4499399514.

LCM(94858,94866) = 4499399514

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Least Common Multiple of 94858 and 94866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94858 and 94866, than apply into the LCM equation.

GCF(94858,94866) = 2
LCM(94858,94866) = ( 94858 × 94866) / 2
LCM(94858,94866) = 8998799028 / 2
LCM(94858,94866) = 4499399514

Least Common Multiple (LCM) of 94858 and 94866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94858 and 94866. First we will calculate the prime factors of 94858 and 94866.

Prime Factorization of 94858

Prime factors of 94858 are 2, 43, 1103. Prime factorization of 94858 in exponential form is:

94858 = 21 × 431 × 11031

Prime Factorization of 94866

Prime factors of 94866 are 2, 3, 97, 163. Prime factorization of 94866 in exponential form is:

94866 = 21 × 31 × 971 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 94858 and 94866.

LCM(94858,94866) = 21 × 431 × 11031 × 31 × 971 × 1631
LCM(94858,94866) = 4499399514