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What is the Least Common Multiple of 94735 and 94752?

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 94735 and 94752 is 8976330720.

LCM(94735,94752) = 8976330720

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Least Common Multiple of 94735 and 94752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94735 and 94752, than apply into the LCM equation.

GCF(94735,94752) = 1
LCM(94735,94752) = ( 94735 × 94752) / 1
LCM(94735,94752) = 8976330720 / 1
LCM(94735,94752) = 8976330720

Least Common Multiple (LCM) of 94735 and 94752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94735 and 94752. First we will calculate the prime factors of 94735 and 94752.

Prime Factorization of 94735

Prime factors of 94735 are 5, 18947. Prime factorization of 94735 in exponential form is:

94735 = 51 × 189471

Prime Factorization of 94752

Prime factors of 94752 are 2, 3, 7, 47. Prime factorization of 94752 in exponential form is:

94752 = 25 × 32 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 94735 and 94752.

LCM(94735,94752) = 51 × 189471 × 25 × 32 × 71 × 471
LCM(94735,94752) = 8976330720