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What is the Least Common Multiple of 94766 and 94783?

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 94766 and 94783 is 8982205778.

LCM(94766,94783) = 8982205778

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Least Common Multiple of 94766 and 94783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94766 and 94783, than apply into the LCM equation.

GCF(94766,94783) = 1
LCM(94766,94783) = ( 94766 × 94783) / 1
LCM(94766,94783) = 8982205778 / 1
LCM(94766,94783) = 8982205778

Least Common Multiple (LCM) of 94766 and 94783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94766 and 94783. First we will calculate the prime factors of 94766 and 94783.

Prime Factorization of 94766

Prime factors of 94766 are 2, 7, 967. Prime factorization of 94766 in exponential form is:

94766 = 21 × 72 × 9671

Prime Factorization of 94783

Prime factors of 94783 are 13, 23, 317. Prime factorization of 94783 in exponential form is:

94783 = 131 × 231 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 94766 and 94783.

LCM(94766,94783) = 21 × 72 × 9671 × 131 × 231 × 3171
LCM(94766,94783) = 8982205778