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What is the Least Common Multiple of 94735 and 94744?

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 94744 is 8975572840.

LCM(94735,94744) = 8975572840

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Least Common Multiple of 94735 and 94744 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 94744, than apply into the LCM equation.

GCF(94735,94744) = 1
LCM(94735,94744) = ( 94735 × 94744) / 1
LCM(94735,94744) = 8975572840 / 1
LCM(94735,94744) = 8975572840

Least Common Multiple (LCM) of 94735 and 94744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94735 and 94744. First we will calculate the prime factors of 94735 and 94744.

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 94744

Prime factors of 94744 are 2, 13, 911. Prime factorization of 94744 in exponential form is:

94744 = 23 × 131 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 94735 and 94744.

LCM(94735,94744) = 51 × 189471 × 23 × 131 × 9111
LCM(94735,94744) = 8975572840