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What is the Least Common Multiple of 94865 and 94869?

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 94865 and 94869 is 8999747685.

LCM(94865,94869) = 8999747685

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Least Common Multiple of 94865 and 94869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94865 and 94869, than apply into the LCM equation.

GCF(94865,94869) = 1
LCM(94865,94869) = ( 94865 × 94869) / 1
LCM(94865,94869) = 8999747685 / 1
LCM(94865,94869) = 8999747685

Least Common Multiple (LCM) of 94865 and 94869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94865 and 94869. First we will calculate the prime factors of 94865 and 94869.

Prime Factorization of 94865

Prime factors of 94865 are 5, 18973. Prime factorization of 94865 in exponential form is:

94865 = 51 × 189731

Prime Factorization of 94869

Prime factors of 94869 are 3, 83, 127. Prime factorization of 94869 in exponential form is:

94869 = 32 × 831 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 94865 and 94869.

LCM(94865,94869) = 51 × 189731 × 32 × 831 × 1271
LCM(94865,94869) = 8999747685