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What is the Least Common Multiple of 94843 and 94859?

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 94843 and 94859 is 8996712137.

LCM(94843,94859) = 8996712137

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Least Common Multiple of 94843 and 94859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94843 and 94859, than apply into the LCM equation.

GCF(94843,94859) = 1
LCM(94843,94859) = ( 94843 × 94859) / 1
LCM(94843,94859) = 8996712137 / 1
LCM(94843,94859) = 8996712137

Least Common Multiple (LCM) of 94843 and 94859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94843 and 94859. First we will calculate the prime factors of 94843 and 94859.

Prime Factorization of 94843

Prime factors of 94843 are 7, 17, 797. Prime factorization of 94843 in exponential form is:

94843 = 71 × 171 × 7971

Prime Factorization of 94859

Prime factors of 94859 are 29, 3271. Prime factorization of 94859 in exponential form is:

94859 = 291 × 32711

Now multiplying the highest exponent prime factors to calculate the LCM of 94843 and 94859.

LCM(94843,94859) = 71 × 171 × 7971 × 291 × 32711
LCM(94843,94859) = 8996712137